Our Location 1320 East Oak Street Conway, AR 72032 Click here for an interactive map (use your browser's back button to return to this page). Driving Directions Conway Animal Clinic is located in Conway, Arkansas, just north of Little Rock off of Interstate 40-North. Exit Hwy 64 E - Oak St. and go East. The clinic is located on the left about 1/4 mile from the interstate. Landmarks: Just east of Conway Commons Mall. Home | Meet the Team | Services | About Us | Our Location | Contact Us Admissions | Payment Options | Pet Links | About Pet Portals Powered by VetInsite.