Set Up Patient Portal; Select Page. Contact Us. The Winston Clinic P.A. Click for directions. The Winston Clinic. 506 Little Creek Cutoff Road Sheridan, AR 72150. Phone Number (870) 942-3000 . Fax Number (870) 942-3005 . ... The Winston Clinic, P.A. 506 Little Creek Rd. Sheridan, AR 72150..