This is an issue for me as well, and happens constantly. I tend to miss the last few words of each scene in long cuts. The scene starts with no audio, then restarts after a few seconds with nice synced audio, but the scene ends at the time it would have had their been no restart. The end result is the last few words are cut.
If a the scene goes to a menu, the scene will finish playing out (same as if you'd spacebarred halfway through, the audio continues over the menu), so it's not a huge problem on small cut scenes. In long ones (which are often the plot-critical ones!) it can be seriously annoying, though.