Cleveland is an unincorporated community in Greenville County, South Carolina, United States. Cleveland is located on U.S. Route 276 and South Carolina Highway 11, 8.7 miles north-northwest of Travelers Rest. The population was 1,347 at the 2020 census. Cleveland has a post office with ZIP code 29635, which opened on April 9, 1900 and Fred W. Symmes Chapel, which opened in 1941.