Tennessee Code Title 45. Banks and Financial Institutions § 45-2-906

(a) An adverse claim to the contents of a safe deposit box, or to property held in safekeeping, is not sufficient to require the lessor to deny access to its lessee unless:

(b) A claim is also an adverse claim where one (1) of several lessees claims, contrary to the terms of the lease, an exclusive right of access, or where one (1) or more persons claim a right of access as agents or officers of a lessee to the exclusion of others as agents or officers, or where it is claimed that a lessee is the same person as one using another name.