Grapevine is an unincorporated community in Grant County, Arkansas, United States. Grapevine is located on Arkansas Highway 35 12 miles south-southeast of Sheridan. Grapevine has a post office with ZIP code 72057. Home to the famous R&C hunting club.It is served by the Sheridan School District. The Grapevine School District served it until July 1, 1985, when it consolidated into the Sheridan district.