Residents of Noyac, Sag Harbor’s quieter side, are happy to stay in their neighborhood when Main Street is teeming with visitors. And why wouldn’t they? Long Beach is not only a stunning expanse of bay beach ripe for shell collecting and boating?it’s also a gathering place for families. Because of the gentle grade of the beach, more children have learned to swim with their hands in the sand at Long Beach than perhaps anywhere else in the Hamptons. And the evening scene keeps it casual, catering to those who still have sand between their toes.