I've been having this problem with my eye although apparently it's to do with a lack of sleep instead of the anxiety that's evoked from social situations (well, mainly because I still have them but my anxiety has been much less so this is how i know)
Another peculiarity of mine is to have my eyebrows racing up and down involuntarily when in a dangerous or major stress evoking situations (this may include experiencing extreme anger or fear.)
I've heard that taking a magnesium supplement can help with facial twitched quite a lot. I can only assume it has something to do with restoring the ion balances within the synapses through which nerve impulses are customarily transmitted. I know for a fact that calcium can also aid in the proper upkeep of the nervous system.
"When I really explore the foundation of the world destroying machine, it's none other than the idea that we live in essentially a dead universe, devoid of any intelligence, subjectivity, or agency, that we must therefore project and impose our own meaning, design, and intelligence onto."
- Charles Eisenstein