What would be the more common phrasing here?:
"Is your watch a wind-up or battery-powered"?
"Is your watch a wind-up or does it run on a battery"?
Or would there be a third possibility, i.e. "is it battery-powered"?
By the way, I trust my hyphens have been properly placed!
EX: Do you wind your watch, or does it have a battery?
"battery-powered" (hyphen optional) sounds odd if used to describe a watch, but "battery-operated" sounds fine to my North American ears. "powered" implies power; watched don't really have any power. "run on a battery" sounds OK but it's iffy. It's the "run" part. Again, "power" is implied. All in all, "have a battery" works well.