Lucy Vincent Beach 2 Lucy Vincent Rd, Chilmark, MA02535 Lucy Vincent Beach access is limited to Chilmark residents with a valid pass from June 1 to September 30. During the…More off season, it is open to all. The beach is located on the southern coast of the island, off of South Road, facing the Atlantic Ocean. It features clay cliffs, a volleyball net and a pond suitable for swimming. A portion of the beach allows nude sunbathing.