I was just in Menemsha with my husband visiting family. They always take us for a special treat to the Beach Plum restaurant, which in the past has been wonderful,but was terrible from food to lousy service this time. We heard they have a new chef and are training new staff, but no excuse to charge so much and get inferior quality food and such small amt. with wait staff that are not professional.
Instead, I recommend the Chilmark Tavern! We were there for the first time and found the food to be amazing, nice ambiance(not a bar atmosphere, but lovely decor and fine dining)and polished friendly staff. I highly recommend the onion rings..thin and crispy, not greasy and the mussels are local and done with a wonderful sauce that I wanted to drink out of the bowl.