diff --git a/src/Processors/Formats/IOutputFormat.cpp b/src/Processors/Formats/IOutputFormat.cpp
index 88649d9ca25..2f0ef603022 100644
--- a/src/Processors/Formats/IOutputFormat.cpp
+++ b/src/Processors/Formats/IOutputFormat.cpp
@@ -5,6 +5,11 @@
 namespace DB
 {
 
+namespace ErrorCodes
+{
+    extern const int NOT_IMPLEMENTED;
+}
+
 IOutputFormat::IOutputFormat(const Block & header_, WriteBuffer & out_)
     : IProcessor({header_, header_, header_}, {}), out(out_)
 {
@@ -30,7 +35,7 @@ IOutputFormat::Status IOutputFormat::prepare()
         if (!input.hasData())
             return Status::NeedData;
 
-        current_chunk = input.pull(true);
+        current_chunk = input.pullData(true);
         current_block_kind = kind;
         has_input = true;
         return Status::Ready;
@@ -44,23 +49,31 @@ IOutputFormat::Status IOutputFormat::prepare()
     return Status::Finished;
 }
 
-static Chunk prepareTotals(Chunk chunk)
+static Port::Data prepareTotals(Port::Data data)
 {
-    if (!chunk.hasRows())
+    if (data.exception)
+        return data;
+
+    if (!data.chunk.hasRows())
         return {};
 
-    if (chunk.getNumRows() > 1)
+    if (data.chunk.getNumRows() > 1)
     {
         /// This may happen if something like ARRAY JOIN was executed on totals.
         /// Skip rows except the first one.
-        auto columns = chunk.detachColumns();
+        auto columns = data.chunk.detachColumns();
         for (auto & column : columns)
             column = column->cut(0, 1);
 
-        chunk.setColumns(std::move(columns), 1);
+        data.chunk.setColumns(std::move(columns), 1);
     }
 
-    return chunk;
+    return data;
+}
+
+void IOutputFormat::consume(Chunk)
+{
+    throw Exception(ErrorCodes::NOT_IMPLEMENTED, "Method consume s not implemented for {}", getName());
 }
 
 void IOutputFormat::work()
@@ -84,17 +97,24 @@ void IOutputFormat::work()
     switch (current_block_kind)
     {
         case Main:
-            result_rows += current_chunk.getNumRows();
-            result_bytes += current_chunk.allocatedBytes();
+        {
+            result_rows += current_chunk.chunk.getNumRows();
+            result_bytes += current_chunk.chunk.allocatedBytes();
             consume(std::move(current_chunk));
             break;
+        }
         case Totals:
-            if (auto totals = prepareTotals(std::move(current_chunk)))
+        {
+            auto totals = prepareTotals(std::move(current_chunk));
+            if (totals.exception || totals.chunk)
                 consumeTotals(std::move(totals));
             break;
+        }
         case Extremes:
+        {
             consumeExtremes(std::move(current_chunk));
             break;
+        }
     }
 
     if (auto_flush)
diff --git a/src/Processors/Formats/IOutputFormat.h b/src/Processors/Formats/IOutputFormat.h
index 67c307df2aa..e3552b734e8 100644
--- a/src/Processors/Formats/IOutputFormat.h
+++ b/src/Processors/Formats/IOutputFormat.h
@@ -28,7 +28,7 @@ public:
 protected:
     WriteBuffer & out;
 
-    Chunk current_chunk;
+    Port::Data current_chunk;
     PortKind current_block_kind = PortKind::Main;
     bool has_input = false;
     bool finished = false;
@@ -39,9 +39,14 @@ protected:
 
     RowsBeforeLimitCounterPtr rows_before_limit_counter;
 
-    virtual void consume(Chunk) = 0;
+    virtual void consume(Chunk);
     virtual void consumeTotals(Chunk) {}
     virtual void consumeExtremes(Chunk) {}
+
+    virtual void consume(Port::Data data) { consume(data.getChunkOrTrow()); }
+    virtual void consumeTotals(Port::Data data) { consumeTotals(data.getChunkOrTrow()); }
+    virtual void consumeExtremes(Port::Data data) { consumeExtremes(data.getChunkOrTrow()); }
+
     virtual void finalize() {}
 
 public:
@@ -77,8 +82,8 @@ public:
     virtual void doWritePrefix() {}
     virtual void doWriteSuffix() { finalize(); }
 
-    void setTotals(const Block & totals) { consumeTotals(Chunk(totals.getColumns(), totals.rows())); }
-    void setExtremes(const Block & extremes) { consumeExtremes(Chunk(extremes.getColumns(), extremes.rows())); }
+    void setTotals(const Block & totals) { consumeTotals(Port::Data{.chunk = Chunk(totals.getColumns(), totals.rows())}); }
+    void setExtremes(const Block & extremes) { consumeExtremes(Port::Data{.chunk = Chunk(extremes.getColumns(), extremes.rows())}); }
 
     size_t getResultRows() const { return result_rows; }
     size_t getResultBytes() const { return result_bytes; }
diff --git a/src/Processors/Formats/LazyOutputFormat.cpp b/src/Processors/Formats/LazyOutputFormat.cpp
index 46287d1cce9..72996de9593 100644
--- a/src/Processors/Formats/LazyOutputFormat.cpp
+++ b/src/Processors/Formats/LazyOutputFormat.cpp
@@ -15,24 +15,24 @@ Chunk LazyOutputFormat::getChunk(UInt64 milliseconds)
             return {};
     }
 
-    Chunk chunk;
-    if (!queue.tryPop(chunk, milliseconds))
+    Port::Data data;
+    if (!queue.tryPop(data, milliseconds))
         return {};
 
-    if (chunk)
-        info.update(chunk.getNumRows(), chunk.allocatedBytes());
+    if (!data.exception)
+        info.update(data.chunk.getNumRows(), data.chunk.allocatedBytes());
 
-    return chunk;
+    return data.getChunkOrTrow();
 }
 
 Chunk LazyOutputFormat::getTotals()
 {
-    return std::move(totals);
+    return totals.getChunkOrTrow();
 }
 
 Chunk LazyOutputFormat::getExtremes()
 {
-    return std::move(extremes);
+    return extremes.getChunkOrTrow();
 }
 
 void LazyOutputFormat::setRowsBeforeLimit(size_t rows_before_limit)
diff --git a/src/Processors/Formats/LazyOutputFormat.h b/src/Processors/Formats/LazyOutputFormat.h
index 06ec116f3dd..9f24e54735c 100644
--- a/src/Processors/Formats/LazyOutputFormat.h
+++ b/src/Processors/Formats/LazyOutputFormat.h
@@ -37,28 +37,28 @@ public:
     }
 
 protected:
-    void consume(Chunk chunk) override
+    void consume(Port::Data data) override
     {
         if (!finished_processing)
-            queue.emplace(std::move(chunk));
+            queue.emplace(std::move(data));
     }
 
-    void consumeTotals(Chunk chunk) override { totals = std::move(chunk); }
-    void consumeExtremes(Chunk chunk) override { extremes = std::move(chunk); }
+    void consumeTotals(Port::Data data) override { totals = std::move(data); }
+    void consumeExtremes(Port::Data data) override { extremes = std::move(data); }
 
     void finalize() override
     {
         finished_processing = true;
 
         /// In case we are waiting for result.
-        queue.emplace(Chunk());
+        queue.emplace(Port::Data{});
     }
 
 private:
 
-    ConcurrentBoundedQueue<Chunk> queue;
-    Chunk totals;
-    Chunk extremes;
+    ConcurrentBoundedQueue<Port::Data> queue;
+    Port::Data totals;
+    Port::Data extremes;
 
     /// Is not used.
     static WriteBuffer out;
diff --git a/src/Processors/Port.h b/src/Processors/Port.h
index ac71c394518..c7401a18afe 100644
--- a/src/Processors/Port.h
+++ b/src/Processors/Port.h
@@ -60,6 +60,14 @@ protected:
             /// Note: std::variant can be used. But move constructor for it can't be inlined.
             Chunk chunk;
             std::exception_ptr exception;
+
+            Chunk getChunkOrTrow()
+            {
+                if (exception)
+                    std::rethrow_exception(std::move(exception));
+
+                return std::move(chunk);
+            }
         };
 
     private:
@@ -303,12 +311,7 @@ public:
 
     Chunk ALWAYS_INLINE pull(bool set_not_needed = false)
     {
-        auto data_ = pullData(set_not_needed);
-
-        if (data_.exception)
-            std::rethrow_exception(data_.exception);
-
-        return std::move(data_.chunk);
+        return pullData(set_not_needed).getChunkOrTrow();
     }
 
     bool ALWAYS_INLINE isFinished() const