Yes, bout is a Scrabble word!
...and is worth 6 points in Scrabble, and 8 points in Words with Friends
bout
Noun
1. (sports) a division during which one team is on the offensive
2. A period of illness
3. A contest or fight (especially between boxers or wrestlers)
4. An occasion for excessive eating or drinking
What Scrabble words can I make with the letters in bout?
3 Letter Words
2 Letter Words