GC §411.205. REQUIREMENT TO DISPLAY LICENSE wrote:
If a license holder is carrying a handgun on or about the license holder’s person when a magistrate or a peace officer demands that the license holder display identification, the license holder shall display both the license holder’s driver’s license or identification certificate issued by the department and the license holder’s handgun license.
The legal requirement is that you give them your CHL if you are carrying. Even if there is no penalty, you are still breaking the law if you do not.