****Southampton Publick House, Southampton. Brewery == Economical Hamptons restaurants -Lobster Roll Rte 27, Amagansett $ One of the essential seafood shacks in the Hamptons. Glorious pie. -Duryea's 65 Tuthill Rd, Montauk $ Stern best. On the bay. Simple, expertly prepared seafood. Lobster. BYObeer. Just N of train station -Blue Parrot Bar and Grill 33A Main St, E Hampton, NY $ So Cal Mex -Armand's 1271 Noyac Rd, North Sea $ Notable for normality. Famous for gourmet pizza. Also whole menu to go -Chiquita Latina 480 Montauk Hwy, East Hampton $ Central and South American specials daily. Burritos, tacos. Cheap. Latin grocery. -The Dock 1 Town Rd, Montauk $ Saloon-like, steps from commercial fishing docks. Burgers. Soft shell crab for $18 -Espresso 184 Division St, Sag Harbor $ Little Italy. 100 jumbo sandwiches, 24 gourmet pizzas. All food is to go. -****Tumbleweeds Texas BBQ 174 E Montauk Hwy $ Authentic down and dirty, excellent BBQ, true slow cook. Yankee bean chili truly spicy. Excellent Lundy ribs, pulled pork. -**Clam Bar Montaulk Highway, Napeague $ True spirit of LI. Seafood. The real thing. -**Estia's Little Kitchen, Bridgehampton-Sag Harbor Tpke $ Burger a triumph, classic banana split -***Poppy's Snowflake Just off Montauk Hwy in E Hampton $ Classic drive-in. Milk shakes, fried clam rolls -Lucida Roadhouse. 85 Ferry Rd, Shelter Island. Funky, jaunty. Tapas. Moderate prices. -*** New Moon Cafe 524 Montauk Hwy, East Quogue $ Texas style BBQ and Tex Mex at East Q fixture. Standout cheesecake. -Villa Italian Specialties 7 Railroad Av, E Hampton $ Great sandwiches. Foot long Villa Combo, $5.15 Local favorite, top quality -Yama-Q 2393 Main St Bridgehampton $ Best sushi in Hamptons. Dinner for under $20 possible. Always busy -***Starr Boggs, Dune Rd in Westhampton Beach. Ritzy. Reasonable midweek prix fixe