Hej svenskaflicka,
I only had dirty-minded suggestions (ha ha).
Some people respond well to buspirone (BuSpar) for bruxism (the fancy name for jaw clenching.) It's an off-label prescription, but it's worth a shot. Better than a mouth-guard anyway. A lot of people have daytime headaches because of jaw clenching.
Anxiety disorders are becoming so common--I know this both personally and professionally. The best answers seem to be the old standbys: exercise, avoiding booze, and meds when warranted.
Lycka till,
Mats.