A well-worn seafood house in the Indian Neck section of Branford’s scenic coast, Lenny’s is a neighborhood kind of place with a menu that ranges from hamburgers to steaks and big platters of seafood with an Italian accent. The classic full shore dinner includes chowder (either creamy New England style or clear-broth shoreline style), a couple of cherrystone clams on the shell, a lobster, a heap of steamers, sweet corn, and a thick slice of watermelon for dessert.