Practice Locations. Phone. Cardiology Clinic at UAB Medicine Gardendale. 960 Rocket Way, Floor 1, Gardendale, AL 35071 (Map) 205-631-3452. Cardiology Clinic at The Kirklin Clinic of UAB Hospital. 2000 6th Avenue South, Floor 4, Birmingham, AL 35233 (Map) 205-996-4000. Request Appointment..