Yes, baton is a Scrabble word!

Noun

1. A thin tapered rod used by a conductor to lead an orchestra or choir

2. A short stout club used primarily by policemen

3. A short staff carried by some officials to symbolize an office or an authority

4. A hollow metal rod that is wielded or twirled by a drum major or drum majorette

5. A hollow cylinder passed from runner to runner in a relay race