There are 2 US Post Offices in Clay County serving a total of 9,563 residents equating to 4,782 residents per post office. It's estimated that approximately 15,264 packages are handled across the 2 county post offices annually. Clay County is a county located in the far western part of the U.S. state of North Carolina. As of the 2010 census, the population was 10,587. Its county seat is Hayesville."