Halftime Oracle,
Tenn. Code Ann. § 39-17-1325(a) says "A person, business, or other entity that owns, controls, or manages property and has the authority to prohibit weapons on that property by posting, pursuant to § 39-17-1359, shall be immune from civil liability with respect to any claim based on such person's, business's, or other entity's failure to adopt a policy that prohibits weapons on the property by posting pursuant to § 39-17-1359."
Tenn. Code Ann. § 39-17-1359(d) goes on to say "Nothing in this section shall be construed to alter, reduce or eliminate any civil or criminal liability that a property owner or manager may have for injuries arising on their property."
Tennessee has neither adopted such a policy increasing a business's liability for prohibiting weapons on its property, nor do I expect TN will because it is detrimental to the business environment TN is attempting to create.
Additionally, I could not find a bill proposed by the legislature that would create such a policy.