Oyster Pond and Shagwong Point Beach is a picturesque beach located in Montauk, United States. The beach is approximately 0.5 miles long and has soft, golden sand. activities available at Oyster Pond and Shagwong Point Beach include swimming, sunbathing, fishing, and hiking. The beach has few amenities, so plan your trip accordingly, although it does have bathroom access and dogs are allowed on a leash.