Clinton is the county seat of Van Buren County, Arkansas, United States. The population was 2,602 at the 2010 census, making it the most po…Clinton is the county seat of Van Buren County, Arkansas, United States. The population was 2,602 at the 2010 census, making it the most populous city in the county. The city was named for DeWitt Clinton, the New York governor who built the Erie Canal; he had also been a U.S. Senator from New York.