1) Subject to certain exceptions which we’ll  review, a license to carry a firearm issued by  the Department of Public Safety authorizes  the licensee to carry a handgun (LTC) on or  about their person either concealed, or carrie  openly (subject to some restrictions).
2. It is now lawful to openly carry a handgun in  the same places that allow the licensed carrying of a concealed handgun with some exceptions provided the handgun is carried in a shoulder or belt  holster
3.Texas license holders can carry openly or  concealed in any place not expressly  prohibited by law.
4. License holders may be subject to  criminal charges for carrying a handgun in plain view unless carried in a  shoulder or belt  holster. That means that simply tucking a  handgun into your waistband without a holster is against the law  (and, a very dangerous way to carry the gun).

Texas LTC Law