Welcome to Riverview Golf Club ... Riverview Golf Club 2501 S. Nolan River Road Cleburne, TX 76031 (817) 641-7818 (817) 558-2580 (Metro) Riverview Golf Club is a public-access daily fee course located in Cleburne, approximately 45 minutes south of the Dallas / Ft Worth metroplex. This eighteen hole facility is surrounded not by brick and mortar, but by a relaxing beautiful countryside. A nice ...