diff --git a/cmd/mount/file.go b/cmd/mount/file.go
index 73535dccf..343783b2d 100644
--- a/cmd/mount/file.go
+++ b/cmd/mount/file.go
@@ -112,13 +112,11 @@ func (f *File) Open(ctx context.Context, req *fuse.OpenRequest, resp *fuse.OpenR
 
 	fs.Debug(o, "File.Open")
 
-	// Files aren't seekable
-	resp.Flags |= fuse.OpenNonSeekable
-
 	switch {
 	case req.Flags.IsReadOnly():
 		return newReadFileHandle(o)
 	case req.Flags.IsWriteOnly():
+		resp.Flags |= fuse.OpenNonSeekable
 		src := newCreateInfo(f.d.f, o.Remote())
 		fh, err := newWriteFileHandle(f.d, f, src)
 		if err != nil {
diff --git a/cmd/mount/mount.go b/cmd/mount/mount.go
index 5f8e68f00..afed31715 100644
--- a/cmd/mount/mount.go
+++ b/cmd/mount/mount.go
@@ -82,10 +82,9 @@ Or with OS X
 
 ### Limitations ###
 
-This can only read files seqentially, or write files sequentially.  It
-can't read and write or seek in files.
+This can only write files seqentially, it can only seek when reading.
 
-rclonefs inherits rclone's directory handling.  In rclone's world
+Rclone mount inherits rclone's directory handling.  In rclone's world
 directories don't really exist.  This means that empty directories
 will have a tendency to disappear once they fall out of the directory
 cache.
diff --git a/cmd/mount/read.go b/cmd/mount/read.go
index 97f7aaa7c..a8d119b1c 100644
--- a/cmd/mount/read.go
+++ b/cmd/mount/read.go
@@ -19,6 +19,7 @@ type ReadFileHandle struct {
 	r          io.ReadCloser
 	o          fs.Object
 	readCalled bool // set if read has been called
+	offset     int64
 }
 
 func newReadFileHandle(o fs.Object) (*ReadFileHandle, error) {
@@ -38,14 +39,38 @@ var _ fusefs.Handle = (*ReadFileHandle)(nil)
 // Check interface satisfied
 var _ fusefs.HandleReader = (*ReadFileHandle)(nil)
 
+// seek to a new offset
+func (fh *ReadFileHandle) seek(offset int64) error {
+	fs.Debug(fh.o, "ReadFileHandle.seek from %d to %d", fh.offset, offset)
+	r, err := fh.o.Open(&fs.SeekOption{Offset: offset})
+	if err != nil {
+		fs.Debug(fh.o, "ReadFileHandle.Read seek failed: %v", err)
+		return err
+	}
+	err = fh.r.Close()
+	if err != nil {
+		fs.Debug(fh.o, "ReadFileHandle.Read seek close old failed: %v", err)
+	}
+	fh.r = r
+	return nil
+}
+
 // Read from the file handle
 func (fh *ReadFileHandle) Read(ctx context.Context, req *fuse.ReadRequest, resp *fuse.ReadResponse) error {
-	fs.Debug(fh.o, "ReadFileHandle.Open")
+	fs.Debug(fh.o, "ReadFileHandle.Read size %d offset %d", req.Size, req.Offset)
 	if fh.closed {
 		fs.ErrorLog(fh.o, "ReadFileHandle.Read error: %v", errClosedFileHandle)
 		return errClosedFileHandle
 	}
-	fh.readCalled = true
+	if req.Offset != fh.offset {
+		err := fh.seek(req.Offset)
+		if err != nil {
+			return err
+		}
+	}
+	if req.Size > 0 {
+		fh.readCalled = true
+	}
 	// We don't actually enforce Offset to match where previous read
 	// ended. Maybe we should, but that would mean'd we need to track
 	// it. The kernel *should* do it for us, based on the
@@ -60,10 +85,11 @@ func (fh *ReadFileHandle) Read(ctx context.Context, req *fuse.ReadRequest, resp
 		err = nil
 	}
 	resp.Data = buf[:n]
+	fh.offset += int64(n)
 	if err != nil {
-		fs.ErrorLog(fh.o, "ReadFileHandle.Open error: %v", err)
+		fs.ErrorLog(fh.o, "ReadFileHandle.Read error: %v", err)
 	} else {
-		fs.Debug(fh.o, "ReadFileHandle.Open OK")
+		fs.Debug(fh.o, "ReadFileHandle.Read OK")
 	}
 	return err
 }
diff --git a/cmd/mount/read_test.go b/cmd/mount/read_test.go
index 7b385afd4..ba10f64f1 100644
--- a/cmd/mount/read_test.go
+++ b/cmd/mount/read_test.go
@@ -4,6 +4,7 @@ package mount
 
 import (
 	"io"
+	"io/ioutil"
 	"os"
 	"syscall"
 	"testing"
@@ -77,3 +78,34 @@ func TestReadFileDoubleClose(t *testing.T) {
 
 	run.rm(t, "testdoubleclose")
 }
+
+// Test seeking
+func TestReadSeek(t *testing.T) {
+	run.skipIfNoFUSE(t)
+
+	var data = []byte("helloHELLO")
+	run.createFile(t, "testfile", string(data))
+	run.checkDir(t, "testfile 10")
+
+	fd, err := os.Open(run.path("testfile"))
+	assert.NoError(t, err)
+
+	_, err = fd.Seek(5, 0)
+	assert.NoError(t, err)
+
+	buf, err := ioutil.ReadAll(fd)
+	assert.NoError(t, err)
+	assert.Equal(t, buf, []byte("HELLO"))
+
+	_, err = fd.Seek(0, 0)
+	assert.NoError(t, err)
+
+	buf, err = ioutil.ReadAll(fd)
+	assert.NoError(t, err)
+	assert.Equal(t, buf, []byte("helloHELLO"))
+
+	err = fd.Close()
+	assert.NoError(t, err)
+
+	run.rm(t, "testfile")
+}