Deli Delight 615 Montauk Hwy, East Quogue, NY11942 Deli Delight is a full-service deli open year-round, seven days a week. The deli offers outdoor seating when it's warm…More out, so you can sit outside and soak up the rays while enjoying a fresh sandwich made to order. Deli Delight serves breakfast, lunch and dinner, and also has a full catering menu. The deli also has a make-your-own coffee bar and sells lottery tickets, cigars and ice. There is an ATM on site.