Tennessee Code Title 70. Wildlife Resources § 70-4-103

(b) Fox hounds, rabbit dogs and bird dogs may be trained the entire year, except during such periods as may be fixed by the commission for the protection of the species, but any person accompanying the dogs or training them shall not possess any firearm, bow and arrow, or any other such device, except during the regular open season; except that, a person who is not otherwise prohibited by law from possessing a handgun may carry a handgun as defined in § 39-11-106, so long as the handgun is not used for the taking of game.