Joey's by the Shore 64 Compo Beach Rd, Westport, CT06880 Joey's by the Shore, also known as the Compo Beach Concession, offers good, honest food, beginning with hearty…More breakfast choices. Lobster rolls, shrimp rolls and fried clams compete on the menu with Philly cheesesteaks and chicken tenders. The coffee is fresh-brewed, and the milk shakes are made from real ice cream. Customers can claim an indoor picnic table or take their orders to the nearby outdoor pavilion. Joe's by the Shore is open from late spring through late fall at Compo Beach, next to the lifeguard station.