Places to eat and drink in Patmos are mostly concentrated in the tourist areas. Cozy taverns, cafes, and bars are found in the narrow streets and squares of Chora and across the promenade in Skala. You will find a place to enjoy a meal or sip a cup of coffee in less popular spots as well, though.
As this is not an island with intense nightlife, most bars in Patmos stay open until after midnight.