diff --git a/internal/dinners/dinners.go b/internal/dinners/dinners.go
index 6e93d58..0e0c096 100644
--- a/internal/dinners/dinners.go
+++ b/internal/dinners/dinners.go
@@ -149,7 +149,7 @@ type Service struct {
 	// id, the candidates last offered by Candidates until they expire, so
 	// a candidate id is resolved here and its URL never leaves the server.
 	// offerSearches holds the Candidates searches running, by dinner id,
-	// so clearing a dinner's offers keeps them from storing theirs.
+	// so clearing a dinner's offers keeps them from storing stale ones.
 	offersMu      sync.Mutex
 	offers        map[string]*offerSet
 	offerSearches map[string]map[*offerSearch]struct{}
@@ -388,7 +388,7 @@ func (s *Service) Update(ctx context.Context, id string, p Patch, updatedBy stri
 	}
 	if renamed {
 		updateCommitted()
-		s.clearOffers(row.ID)
+		s.clearOffers(row.ID, row.GroundingRevision)
 	}
 	if regrounding {
 		s.stopGroundings(row.ID, row.GroundingRevision)
@@ -426,7 +426,7 @@ func (s *Service) Archive(ctx context.Context, id, updatedBy string) (Dinner, er
 		return Dinner{}, fmt.Errorf("dinners: archive %s: %w", id, err)
 	}
 	s.stopGroundings(row.ID, math.MaxInt64)
-	s.clearOffers(row.ID)
+	s.clearOffers(row.ID, math.MaxInt64)
 	return fromRow(row), nil
 }
 
diff --git a/internal/dinners/export_test.go b/internal/dinners/export_test.go
index 15deb92..b143035 100644
--- a/internal/dinners/export_test.go
+++ b/internal/dinners/export_test.go
@@ -49,6 +49,14 @@ func (s *Service) HasOffers(id string) bool {
 	return ok
 }
 
+// StoreOffers stores urls as dinner id's offers, as a Candidates search
+// that read the dinner at grounding_revision revision would on finishing.
+func (s *Service) StoreOffers(id string, urls map[string]string, revision int64) {
+	keep, done := s.trackOffers(id)
+	defer done()
+	keep(urls, revision)
+}
+
 // OfferCount is the number of dinners whose candidates the service holds.
 func (s *Service) OfferCount() int {
 	s.offersMu.Lock()
diff --git a/internal/dinners/grounding.go b/internal/dinners/grounding.go
index df8956c..3166914 100644
--- a/internal/dinners/grounding.go
+++ b/internal/dinners/grounding.go
@@ -9,6 +9,7 @@ import (
 	"encoding/json"
 	"errors"
 	"fmt"
+	"math"
 	"slices"
 	"strings"
 	"time"
@@ -319,10 +320,11 @@ type offerSet struct {
 	expiry   *time.Timer
 }
 
-// offerSearch is a Candidates search running for a dinner. It is stale
-// once the dinner's offers are cleared, and then stores none.
+// offerSearch is a Candidates search running for a dinner. It stores no
+// offers found at a grounding_revision below below, which clearing the
+// dinner's offers raises.
 type offerSearch struct {
-	stale bool
+	below int64
 }
 
 // Candidates searches for dinner id's name and returns up to MaxCandidates
@@ -333,7 +335,7 @@ type offerSearch struct {
 // search that fails wraps recipes.ErrSearchFailed.
 func (s *Service) Candidates(ctx context.Context, id string) ([]Candidate, error) {
 	// Tracked before the dinner is read: grounding, renaming or archiving
-	// it after the read makes this search stale.
+	// it after the read keeps this search from storing what it found.
 	keep, done := s.trackOffers(id)
 	defer done()
 	row, err := s.get(ctx, id)
@@ -363,8 +365,9 @@ func (s *Service) Candidates(ctx context.Context, id string) ([]Candidate, error
 
 // trackOffers registers a Candidates search for dinner id. It returns keep,
 // which stores urls, found for the dinner at grounding_revision revision,
-// as its offers for offerLifetime unless clearOffers has run for it since,
-// and done, to call when the search ends.
+// as its offers for offerLifetime unless clearOffers has run for it since
+// with a revision above that, or offers found at a later revision are
+// stored, and done, to call when the search ends.
 func (s *Service) trackOffers(id string) (keep func(urls map[string]string, revision int64), done func()) {
 	search := &offerSearch{}
 	s.offersMu.Lock()
@@ -376,7 +379,12 @@ func (s *Service) trackOffers(id string) (keep func(urls map[string]string, revi
 	keep = func(urls map[string]string, revision int64) {
 		s.offersMu.Lock()
 		defer s.offersMu.Unlock()
-		if search.stale {
+		if revision < search.below {
+			return
+		}
+		if set := s.offers[id]; set != nil && set.revision > revision {
+			// Found at a later revision, so the earlier search's offers
+			// are already stale.
 			return
 		}
 		s.dropOffers(id)
@@ -403,15 +411,20 @@ func (s *Service) trackOffers(id string) (keep func(urls map[string]string, revi
 	return keep, done
 }
 
-// clearOffers drops dinner id's offers and makes every Candidates search
-// running for it stale, so no candidate offered before grounds it. Call
-// it once the dinner is grounded by hand, renamed or archived.
-func (s *Service) clearOffers(id string) {
+// clearOffers drops dinner id's offers found at a grounding_revision below
+// below and keeps every Candidates search running for it from storing
+// such offers, so none of them grounds it. Offers found at below or above
+// are kept. Call it with math.MaxInt64 once the dinner is grounded by hand
+// or archived, and with its new revision once it is renamed: a search
+// that read the rename meanwhile keeps its offers.
+func (s *Service) clearOffers(id string, below int64) {
 	s.offersMu.Lock()
 	defer s.offersMu.Unlock()
-	s.dropOffers(id)
+	if set := s.offers[id]; set != nil && set.revision < below {
+		s.dropOffers(id)
+	}
 	for search := range s.offerSearches[id] {
-		search.stale = true
+		search.below = max(search.below, below)
 	}
 }
 
@@ -547,7 +560,7 @@ func (s *Service) Ground(ctx context.Context, id string, f Fix, updatedBy string
 	if err != nil {
 		return Dinner{}, fmt.Errorf("%w: dinner %s: record: %w", ErrGroundFailed, id, err)
 	}
-	s.clearOffers(cur.ID)
+	s.clearOffers(cur.ID, math.MaxInt64)
 	return fromRow(row), nil
 }
 
@@ -670,7 +683,7 @@ func (s *Service) groundManual(ctx context.Context, id string, m ManualRecipe, u
 	if err != nil {
 		return Dinner{}, fmt.Errorf("%w: dinner %s: %w", ErrGroundFailed, id, err)
 	}
-	s.clearOffers(row.ID)
+	s.clearOffers(row.ID, math.MaxInt64)
 	return fromRow(row), nil
 }
 
diff --git a/internal/dinners/grounding_test.go b/internal/dinners/grounding_test.go
index be0b2a9..fa17cb2 100644
--- a/internal/dinners/grounding_test.go
+++ b/internal/dinners/grounding_test.go
@@ -959,6 +959,55 @@ func TestRenameSameNormalizedNameRefusesOldCandidates(t *testing.T) {
 	}
 }
 
+// TestCandidatesBetweenRenameAndClearKept: a candidate search that reads
+// a dinner after its rename commits, and stores its candidates before the
+// rename clears the dinner's offers, keeps them: they ground the renamed
+// dinner, while one offered before the rename does not, even when a search
+// that read the dinner before the rename finishes after them.
+func TestCandidatesBetweenRenameAndClearKept(t *testing.T) {
+	// Unstarted, so the dinner stays pending with its jobs queued.
+	e := newUnstartedEnv(t)
+	e.search.Results["Beef stew"] = []recipes.Candidate{{URL: stew}}
+	c, err := e.svc.CreateRegular(t.Context(), dinners.NewRegular{Name: ptr("Chicken curry")}, member)
+	if err != nil {
+		t.Fatal(err)
+	}
+	old := candidateID(t, e, c.ID, "Chicken Curry")
+	before := e.dinner(t, c.ID)
+
+	var fresh string
+	dinners.SetUpdateCommitted(t, func() {
+		fresh = candidateID(t, e, c.ID, "Beef Stew")
+		e.svc.StoreOffers(c.ID, map[string]string{old: curryA}, before.GroundingRevision)
+	})
+	if _, err := e.svc.Update(t.Context(), c.ID, dinners.Patch{Name: ptr("Beef stew")}, member); err != nil {
+		t.Fatal(err)
+	}
+	if fresh == "" {
+		t.Fatal("no candidate search ran between the rename and clearing offers")
+	}
+	if !e.svc.HasOffers(c.ID) {
+		t.Fatalf("clearing offers after the rename dropped the candidates found at its revision for dinner %s", c.ID)
+	}
+	wantStaleCandidate(t, e, c.ID, old)
+
+	e.model.QueueGenerate(recipestest.NormalizedReply("oven", 150))
+	g, err := e.svc.Ground(t.Context(), c.ID, dinners.Fix{CandidateID: ptr(fresh)}, member)
+	if err != nil {
+		t.Fatal(err)
+	}
+	if g.GroundingStatus != dinners.GroundingGrounded || g.RecipeID == nil {
+		t.Fatalf("dinner = %+v, want grounded for the new name", g)
+	}
+	rec, err := db.New(e.st.Reader).GetRecipe(t.Context(), *g.RecipeID)
+	if err != nil {
+		t.Fatal(err)
+	}
+	if rec.SourceUrl != stew {
+		t.Errorf("recipe source = %s, want %s", rec.SourceUrl, stew)
+	}
+}
+
 // TestRenameBackDuringCandidatesRefusesThem: a candidate search that read
 // a dinner as A and finishes after renames A -> B -> A have committed, but
 // before either has cleared the dinner's offers, stores candidates that