As of my system time, I cannot determine the current time in Texas. However, according to the search results, the current local time in Texas is dependent on the specific location within Texas. For example, as of September 23, 2023, the current local time in Hawkins, Hereford, and Houston is 4:14 pm, while in Hudspeth County it is 3:14 pm. Alternatively, the current local time in Dallas, Texas as of September 22, 2023, is 6:09:37 pm CDT. Therefore, the current time in Texas varies depending on the location within the state.