The term STYLISH EATERY can be broken down into two crossword solutions: CAFE (4 letters). A cafe is a type of restaurant that typically serves coffee and other beverages, as well as light meals such as sandwiches, salads, and pastries. Cafes are often seen as more casual and relaxed than traditional restaurants, and they often have a cozy atmosphere. They are popular places for people to meet up with friends or to work on their own.