diff --git a/hydra-cluster/src/Hydra/Cluster/Scenarios.hs b/hydra-cluster/src/Hydra/Cluster/Scenarios.hs
index 8aaba13daf3..65cd85e18da 100644
--- a/hydra-cluster/src/Hydra/Cluster/Scenarios.hs
+++ b/hydra-cluster/src/Hydra/Cluster/Scenarios.hs
@@ -68,7 +68,7 @@ import Hydra.Cardano.Api (
  )
 import Hydra.Cluster.Faucet (FaucetLog, createOutputAtAddress, seedFromFaucet, seedFromFaucet_)
 import Hydra.Cluster.Faucet qualified as Faucet
-import Hydra.Cluster.Fixture (Actor (..), actorName, alice, aliceSk, aliceVk, bob, bobSk, bobVk, carol, carolSk)
+import Hydra.Cluster.Fixture (Actor (..), actorName, alice, aliceSk, aliceVk, bob, bobSk, bobVk, carol, carolSk, carolVk)
 import Hydra.Cluster.Mithril (MithrilLog)
 import Hydra.Cluster.Options (Options)
 import Hydra.Cluster.Util (chainConfigFor, keysFor, modifyConfig, setNetworkId)
@@ -132,6 +132,80 @@ data EndToEndLog
   deriving stock (Eq, Show, Generic)
   deriving anyclass (ToJSON)
 
+oneOfNNodesCanDropForAWhile :: Tracer IO EndToEndLog -> FilePath -> RunningNode -> [TxId] -> IO ()
+oneOfNNodesCanDropForAWhile tracer workDir cardanoNode hydraScriptsTxId = do
+  let clients = [Alice, Bob, Carol]
+  [(aliceCardanoVk, aliceCardanoSk), (bobCardanoVk, _), (carolCardanoVk, _)] <- forM clients keysFor
+  seedFromFaucet_ cardanoNode aliceCardanoVk 100_000_000 (contramap FromFaucet tracer)
+  seedFromFaucet_ cardanoNode bobCardanoVk 100_000_000 (contramap FromFaucet tracer)
+  seedFromFaucet_ cardanoNode carolCardanoVk 100_000_000 (contramap FromFaucet tracer)
+
+  let contestationPeriod = UnsafeContestationPeriod 1
+  aliceChainConfig <-
+    chainConfigFor Alice workDir nodeSocket hydraScriptsTxId [Bob, Carol] contestationPeriod
+      <&> setNetworkId networkId
+
+  bobChainConfig <-
+    chainConfigFor Bob workDir nodeSocket hydraScriptsTxId [Alice, Carol] contestationPeriod
+      <&> setNetworkId networkId
+
+  carolChainConfig <-
+    chainConfigFor Carol workDir nodeSocket hydraScriptsTxId [Alice, Bob] contestationPeriod
+      <&> setNetworkId networkId
+
+  withHydraNode hydraTracer aliceChainConfig workDir 1 aliceSk [bobVk, carolVk] [1, 2, 3] $ \n1 -> do
+    aliceUTxO <- seedFromFaucet cardanoNode aliceCardanoVk 1_000_000 (contramap FromFaucet tracer)
+    withHydraNode hydraTracer bobChainConfig workDir 2 bobSk [aliceVk, carolVk] [1, 2, 3] $ \n2 -> do
+      withHydraNode hydraTracer carolChainConfig workDir 3 carolSk [aliceVk, bobVk] [1, 2, 3] $ \n3 -> do
+        -- Init
+        send n1 $ input "Init" []
+        headId <- waitForAllMatch (10 * blockTime) [n1, n2, n3] $ headIsInitializingWith (Set.fromList [alice, bob, carol])
+
+        -- Alice commits something
+        requestCommitTx n1 aliceUTxO >>= submitTx cardanoNode
+
+        -- Everyone else commits nothing
+        mapConcurrently_ (\n -> requestCommitTx n mempty >>= submitTx cardanoNode) [n2, n3]
+
+        -- Observe open with the relevant UTxOs
+        waitFor hydraTracer (20 * blockTime) [n1, n2, n3] $
+          output "HeadIsOpen" ["utxo" .= toJSON aliceUTxO, "headId" .= headId]
+
+        -- Perform a simple transaction from alice to herself
+        utxo <- getSnapshotUTxO n1
+        tx <- mkTransferTx testNetworkId utxo aliceCardanoSk aliceCardanoVk
+        send n1 $ input "NewTx" ["transaction" .= tx]
+
+        -- Everyone confirms it
+        waitForAllMatch (200 * blockTime) [n1, n2, n3] $ \v -> do
+          guard $ v ^? key "tag" == Just "SnapshotConfirmed"
+          guard $ v ^? key "snapshot" . key "number" == Just (toJSON (1 :: Integer))
+
+      -- Carol disconnects and the others observe it
+      waitForAllMatch (100 * blockTime) [n1, n2] $ \v -> do
+        guard $ v ^? key "tag" == Just "PeerDisconnected"
+
+      -- Alice never-the-less submits a transaction
+      utxo <- getSnapshotUTxO n1
+      tx <- mkTransferTx testNetworkId utxo aliceCardanoSk aliceCardanoVk
+      send n1 $ input "NewTx" ["transaction" .= tx]
+
+      -- Carol reconnects, and then the snapshot can be confirmed
+      withHydraNode hydraTracer carolChainConfig workDir 3 carolSk [aliceVk, bobVk] [1, 2, 3] $ \n3 -> do
+        -- Note: We can't use `waitForAlMatch` here as it expects them to
+        -- emit the exact same datatype; but Carol will be behind in sequence
+        -- numbers as she was offline.
+        flip mapConcurrently_ [n1, n2, n3] $ \n ->
+          waitMatch (200 * blockTime) n $ \v -> do
+            guard $ v ^? key "tag" == Just "SnapshotConfirmed"
+            guard $ v ^? key "snapshot" . key "number" == Just (toJSON (2 :: Integer))
+            -- Just check that everyone signed it.
+            let sigs = v ^.. key "signatures" . key "multiSignature" . values
+            guard $ length sigs == 3
+ where
+  RunningNode{nodeSocket, networkId, blockTime} = cardanoNode
+  hydraTracer = contramap FromHydraNode tracer
+
 restartedNodeCanObserveCommitTx :: Tracer IO EndToEndLog -> FilePath -> RunningNode -> [TxId] -> IO ()
 restartedNodeCanObserveCommitTx tracer workDir cardanoNode hydraScriptsTxId = do
   let clients = [Alice, Bob]
diff --git a/hydra-cluster/src/HydraNode.hs b/hydra-cluster/src/HydraNode.hs
index c3d8537b698..951aa79cc16 100644
--- a/hydra-cluster/src/HydraNode.hs
+++ b/hydra-cluster/src/HydraNode.hs
@@ -95,6 +95,14 @@ waitNoMatch delay client match = do
     Left _ -> pure () -- Success: waitMatch failed to find a match
     Right _ -> failure "waitNoMatch: A match was found when none was expected"
 
+-- | Wait up to some time and succeed if no API server output matches the given predicate.
+waitForAllNoMatch :: (Eq a, Show a, HasCallStack) => NominalDiffTime -> [HydraClient] -> (Aeson.Value -> Maybe a) -> IO ()
+waitForAllNoMatch delay clients match = do
+  result <- try (void $ waitForAllMatch delay clients match) :: IO (Either SomeException ())
+  case result of
+    Left _ -> pure () -- Success: waitMatch failed to find a match
+    Right _ -> failure "waitForAllNoMatch: A match was found when none was expected"
+
 -- | Wait up to some time for an API server output to match the given predicate.
 waitMatch :: HasCallStack => NominalDiffTime -> HydraClient -> (Aeson.Value -> Maybe a) -> IO a
 waitMatch delay client@HydraClient{tracer, hydraNodeId} match = do
diff --git a/hydra-cluster/test/Test/EndToEndSpec.hs b/hydra-cluster/test/Test/EndToEndSpec.hs
index 23cff102141..eb1c1d14c5a 100644
--- a/hydra-cluster/test/Test/EndToEndSpec.hs
+++ b/hydra-cluster/test/Test/EndToEndSpec.hs
@@ -59,6 +59,7 @@ import Hydra.Cluster.Scenarios (
   canSubmitTransactionThroughAPI,
   headIsInitializingWith,
   initWithWrongKeys,
+  oneOfNNodesCanDropForAWhile,
   persistenceCanLoadWithEmptyCommit,
   refuelIfNeeded,
   restartedNodeCanAbort,
@@ -298,6 +299,12 @@ spec = around (showLogsOnFailure "EndToEndSpec") $ do
                   output "HeadIsFinalized" ["utxo" .= u0, "headId" .= headId]
 
     describe "restarting nodes" $ do
+      it "can survive a bit of downtime of 1 in 3 nodes" $ \tracer -> do
+        withClusterTempDir $ \tmpDir -> do
+          withCardanoNodeDevnet (contramap FromCardanoNode tracer) tmpDir $ \node ->
+            publishHydraScriptsAs node Faucet
+              >>= oneOfNNodesCanDropForAWhile tracer tmpDir node
+
       it "can abort head after restart" $ \tracer -> do
         withClusterTempDir $ \tmpDir -> do
           withCardanoNodeDevnet (contramap FromCardanoNode tracer) tmpDir $ \node ->