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Clinch County is a county located in the southeastern part of the U.S. state of Georgia. As of the 2010 census, the population was 6,798. The county seat is Homerville. The county was created on February 14, 1850, named in honor of Duncan Lamont Clinch. With 8.5 people per square mile of land, Clinch is the most sparsely-populated county in Georgia.