@simrin-- That's horrible! I hope that guy is an actor and he was just acting and not really twitching.
I think what you are talking about is a little bit different than involuntary muscle spasms though. Muscle spasms can happen to anyone, because of physical activity, medication, stress or another illness.
I think what you describe is more like tick. It actually sounds like Tourette's syndrome which my little brother has. This is a neurological disorder that causes him to have involuntary movements. Stress actually triggers some of it, but it can happen even when he is totally fine and calm.
I know that stress has a lot to do with involuntary muscle spasms in general, especially with the eyes. I had a coworker who would start to involuntarily blink whenever she got stressed out at work or felt anxious.