Tenn. Code Ann. § 44-17-402

If the owner or a person in control of a dog is hunting with either a firearm or a bow and arrow, and that person's dog strays onto property owned by the federal government and operated by the Tennessee wildlife resources agency, the owner or person may proceed onto the property without the person's firearm or bow and arrow. The person shall not be liable for any criminal sanction related to the pursuit of the dog. However, nothing in this section shall be construed to grant civil immunity to the owner or the person in control of the dog for any personal injury or property damage caused by the dog.