I had a small cyst drained next to my eye. The area above my eyelid continues to twitch. Is there anyrhing I can do to stop it?

Time. Most eyelid twitches are a response to stress. In your case, the stress of the procedure may have irriated a few of the muscle fibers, leading to the twitching. Cool compresses may help, but this condition usually will resolve on its own within a few weeks. If it does not, or if the twitching becomes more severe or painful, see your eye doctor.