Clemson is a city in Pickens and Anderson counties in the U.S. state of South Carolina. It is a college town, home of the Clemson University campus. The population of the city was 13,905 at the 2010 census.Clemson is part of the Greenville-Spartanburg-Anderson, South Carolina Combined Statistical Area. Most of the city is in Pickens County, which is part of the Greenville-Mauldin-Easley Metropolitan Statistical Area.