I too am experiencing stuttering audio in Quicktime on OS X Mavericks when the primary audio device is set to my Focusrite Saffire Pro 14 fireware audio interface. If I set the audio device to the internal iMac audio device, it does not happen. Audio works fine in other applications using the Saffire, including iTunes and Logic Pro X. In fact, if I run Logic Pro X and play some audio through it, leave it open, then play audio through Quicktime, then Quicktime does not have the issue. For now, I actually went back to Mountain Lion until the issue is resolved.
I reported the bug to apple:
http://www.apple.com/feedback/macosx.html
And to Focusrite:
http://us.focusrite.com/answerbase/contact
One of the posts in this thread mentioned keeping an eye on the Saffire mix control beta releases. That appears to be here (but no beta release yet to fix this):
http://beta.focusrite.com/releases/saffire_mix_control/