diff --git a/retrieval/scrape.go b/retrieval/scrape.go
index 3ef064c23..f6850d2ee 100644
--- a/retrieval/scrape.go
+++ b/retrieval/scrape.go
@@ -113,7 +113,8 @@ type scrapePool struct {
 	// Constructor for new scrape loops. This is settable for testing convenience.
 	newLoop func(context.Context, scraper, func() storage.Appender, func() storage.Appender, log.Logger) loop
 
-	logger log.Logger
+	logger       log.Logger
+	maxAheadTime time.Duration
 }
 
 func newScrapePool(ctx context.Context, cfg *config.ScrapeConfig, app Appendable, logger log.Logger) *scrapePool {
@@ -133,14 +134,15 @@ func newScrapePool(ctx context.Context, cfg *config.ScrapeConfig, app Appendable
 	}
 
 	return &scrapePool{
-		appendable: app,
-		config:     cfg,
-		ctx:        ctx,
-		client:     client,
-		targets:    map[uint64]*Target{},
-		loops:      map[uint64]loop{},
-		newLoop:    newLoop,
-		logger:     logger,
+		appendable:   app,
+		config:       cfg,
+		ctx:          ctx,
+		client:       client,
+		targets:      map[uint64]*Target{},
+		loops:        map[uint64]loop{},
+		newLoop:      newLoop,
+		logger:       logger,
+		maxAheadTime: 10 * time.Minute,
 	}
 }
 
@@ -310,6 +312,13 @@ func (sp *scrapePool) sampleAppender(target *Target) storage.Appender {
 		panic(err)
 	}
 
+	if sp.maxAheadTime > 0 {
+		app = &timeLimitAppender{
+			Appender: app,
+			maxTime:  timestamp.FromTime(time.Now().Add(sp.maxAheadTime)),
+		}
+	}
+
 	// The limit is applied after metrics are potentially dropped via relabeling.
 	if sp.config.SampleLimit > 0 {
 		app = &limitAppender{
@@ -810,6 +819,7 @@ loop:
 				sl.l.With("timeseries", string(met)).Debug("Duplicate sample for timestamp")
 				continue
 			case storage.ErrOutOfBounds:
+				err = nil
 				numOutOfBounds++
 				sl.l.With("timeseries", string(met)).Debug("Out of bounds metric")
 				continue
diff --git a/retrieval/scrape_test.go b/retrieval/scrape_test.go
index adcd37fe8..7ef8f6a81 100644
--- a/retrieval/scrape_test.go
+++ b/retrieval/scrape_test.go
@@ -273,6 +273,7 @@ func TestScrapePoolSampleAppender(t *testing.T) {
 	app := &nopAppendable{}
 
 	sp := newScrapePool(context.Background(), cfg, app, log.Base())
+	sp.maxAheadTime = 0
 
 	cfg.HonorLabels = false
 	wrapped := sp.sampleAppender(target)
@@ -872,19 +873,23 @@ type errorAppender struct {
 }
 
 func (app *errorAppender) Add(lset labels.Labels, t int64, v float64) (string, error) {
-	if lset.Get(model.MetricNameLabel) == "out_of_order" {
+	switch lset.Get(model.MetricNameLabel) {
+	case "out_of_order":
 		return "", storage.ErrOutOfOrderSample
-	} else if lset.Get(model.MetricNameLabel) == "amend" {
+	case "amend":
 		return "", storage.ErrDuplicateSampleForTimestamp
+	case "out_of_bounds":
+		return "", storage.ErrOutOfBounds
+	default:
+		return app.collectResultAppender.Add(lset, t, v)
 	}
-	return app.collectResultAppender.Add(lset, t, v)
 }
 
 func (app *errorAppender) AddFast(ref string, t int64, v float64) error {
 	return app.collectResultAppender.AddFast(ref, t, v)
 }
 
-func TestScrapeLoopAppendGracefullyIfAmendOrOutOfOrder(t *testing.T) {
+func TestScrapeLoopAppendGracefullyIfAmendOrOutOfOrderOrOutOfBounds(t *testing.T) {
 	app := &errorAppender{}
 	sl := newScrapeLoop(context.Background(), nil,
 		func() storage.Appender { return app },
@@ -893,7 +898,7 @@ func TestScrapeLoopAppendGracefullyIfAmendOrOutOfOrder(t *testing.T) {
 	)
 
 	now := time.Unix(1, 0)
-	_, _, err := sl.append([]byte("out_of_order 1\namend 1\nnormal 1\n"), now)
+	_, _, err := sl.append([]byte("out_of_order 1\namend 1\nnormal 1\nout_of_bounds 1\n"), now)
 	if err != nil {
 		t.Fatalf("Unexpected append error: %s", err)
 	}
@@ -907,7 +912,35 @@ func TestScrapeLoopAppendGracefullyIfAmendOrOutOfOrder(t *testing.T) {
 	if !reflect.DeepEqual(want, app.result) {
 		t.Fatalf("Appended samples not as expected. Wanted: %+v Got: %+v", want, app.result)
 	}
+}
 
+func TestScrapeLoopOutOfBoundsTimeError(t *testing.T) {
+	app := &collectResultAppender{}
+	sl := newScrapeLoop(context.Background(), nil,
+		func() storage.Appender {
+			return &timeLimitAppender{
+				Appender: app,
+				maxTime:  timestamp.FromTime(time.Now().Add(10 * time.Minute)),
+			}
+		},
+		func() storage.Appender { return nopAppender{} },
+		nil,
+	)
+
+	now := time.Now().Add(20 * time.Minute)
+	total, added, err := sl.append([]byte("normal 1\n"), now)
+	if total != 1 {
+		t.Error("expected 1 metric")
+		return
+	}
+
+	if added != 0 {
+		t.Error("no metric should be added")
+	}
+
+	if err != nil {
+		t.Errorf("expect no error, got %s", err.Error())
+	}
 }
 
 func TestTargetScraperScrapeOK(t *testing.T) {
diff --git a/retrieval/target.go b/retrieval/target.go
index 8875a5c85..2949074a6 100644
--- a/retrieval/target.go
+++ b/retrieval/target.go
@@ -225,6 +225,34 @@ func (app *limitAppender) AddFast(ref string, t int64, v float64) error {
 	return nil
 }
 
+type timeLimitAppender struct {
+	storage.Appender
+
+	maxTime int64
+}
+
+func (app *timeLimitAppender) Add(lset labels.Labels, t int64, v float64) (string, error) {
+	if t > app.maxTime {
+		return "", storage.ErrOutOfBounds
+	}
+
+	ref, err := app.Appender.Add(lset, t, v)
+	if err != nil {
+		return "", err
+	}
+	return ref, nil
+}
+
+func (app *timeLimitAppender) AddFast(ref string, t int64, v float64) error {
+	if t > app.maxTime {
+		return storage.ErrOutOfBounds
+	}
+	if err := app.Appender.AddFast(ref, t, v); err != nil {
+		return err
+	}
+	return nil
+}
+
 // Merges the ingested sample's metric with the label set. On a collision the
 // value of the ingested label is stored in a label prefixed with 'exported_'.
 type ruleLabelsAppender struct {