37 Tex. Admin. Code § 6.14
A license holder may not possess more than one license to carry a concealed handgun issued by the department. A license holder who requests a duplicate license based on a change of name or address shall destroy the old license promptly upon receipt of the duplicate license.
Source Note:The provisions of this §6.14 adopted to be effective August 10, 2008, 33 TexReg 6148.