Do the signs say unlawful or unlicensed? Big difference as there are restrictions concerning the unlawful possession of a firearm by a CHL holder.
From the TABC website:
All alcoholic beverage retailers must post one of two firearms signs.
The 51% sign is required to be posted on the premises of establishments where the possession of any concealed weapon is illegal. These are establishments that are licensed to sell alcoholic beverages for on-premises consumption whose alcohol sales constitutes more than half of their gross receipts. These signs have 51% in large red letters superimposed over the warning which notes that possession of a concealed weapon on the premises is a felony.
Establishments licensed to sell alcoholic beverages for off-premise consumption or establishments licensed to sell for on-premises consumption whose alcohol sales are 50% or less of total gross receipts are required to post a sign that warns that the unlicensed possession of a concealed weapon is a felony. The holder of a concealed handgun license may lawfully possess a concealed handgun on these premises.
Sign required to be posted at an off-premise retail establishment:
•Weapons Warning Sign: It is unlawful to carry a weapon on the premises unless the person is licensed to carry the weapon under the concealed handgun law.
Sign required to be posted at an on-premises retail establishment:
•Weapons Warning Sign - If alcohol sales constitute less than half of gross receipts, the required sign says: "It is unlawful to carry a weapon on the premises unless the person is licensed to carry the weapon under the concealed handgun law." If alcohol sales constitute more than half of gross receipts, the signs have 51% in large red letters superimposed over the warning which notes that possession of a concealed weapon on the premises is a felony.
If it's 51% or more, then you can't carry, licensed or not.