Hematology Oncology Clinic Address. 4018 W. Capitol Ave. Winthrop P. Rockefeller Cancer Institute Seventh Floor Little Rock, AR 72205. Get Directions. Contact Information Clinic Phone Number (501) 686-8530 Appointment Phone Numbers (501) 296-1200 New Patients (501) 686-8530 Returning Patients Hours Sunday Closed Monday 8 AM - 4:30 PM Tuesday.