Appointments (Call or use our Portal) Family Medical Clinic – Harrogate 170 Beech Street, Suite 1 P.O. Box 750 Harrogate, TN 37752-0750. Family Medical Clinic – Tazewell 209 Irish Cemetery Road Tazewell, TN 37879 (423) 869-5460 fax . OFFICE HOURS: Monday – Friday 8am – 5pm.