UT Family Practice. 423-778-8837 1100 East 3rd St. Chattanooga, TN 37403. Mon, Wed, Fri, 8AM - 5PM. Tue, Thu, 7AM - 5PM. Attending physicians at UT Family Practice are all members of the University of Tennessee College of Medicine Chattanooga faculty with many years of experience. They are residency-trained and board-certified in Family ....