Cedar Island (Connecticut) is located in Clinton Harbor. Clinton is bordered by the town of Madison on the west, the town of Westbrook on the east, and the town of Killingworth on the north. Clinton is located directly off Long Island Sound. Clinton has one town beach named Clinton Beach. Many fishermen come to Clinton to catch bluefish. The annual Blue Fish Festival is held in Clinton every summer. Clinton is a town located on Long Island Sound in Middlesex County, Connecticut, United States. The population was 13,094 at the 2000 census. The town center along the shore line was listed as a census-designated place (CDP) by the U.S. Census Bureau in the 2000 census.