UT Health Center Is Kicking The Habit July 1, 2004 at 9:47 PM CDT - Updated June 28 at 10:35 AM The University of Texas Health Center at Tyler is kicking the habit for good. The Health Center and all of its off-site clinics are now tobacco-free. The use of cigarettes, cigars, snuff, or other tobacco products are now prohibited. Yesterday, crews began the process of taking down the popular smoking huts. The dismantled smoking huts will be donated to the City of Tyler.