The fight happened at Southers Marsh Golf Club in Plymouth on Friday. Neither of the men has been identified, but the report says a 47-year-old man was arrested and charged with mayhem.
The incident reportedly happened late in the day and left one man with his thumb bitten off to his knuckle. He was taken to a nearby hospital after firefighters arrived at the scene following a 911 call from another person at the club.
Plymouth Police has yet to issue a statement on the situation.