Is twister a common noun

Yes, twister is a common noun; in British English, a swindler; in US Endlish, a tornado.

A proper noun is the name of a specific person, place, thing, or a title. Some proper nouns are:

• Twister, the game
• "Twister", the 1996 movie with Helen Hunt and Bill Paxton
• Twister Trace Street, Las Vegas, NV or Twister Court, Adelanto, CA