It's a flying armbar. Not something restricted to any art. If your teacher knows how to do it they can teach it to you.
seemed like decent enough stuff. probably exactly the sort of thing you want if you only have a few hours a week and want to get some decent rounded stuff in. few too many flashy kicks for my liking, because my experience suggests these are silly things to do when drunk in a pub, but other than that, and the slight psycho undertones, seems decent.