Coffee Sleeve

Coffee cup sleeves, also known as coffee sleeves, coffee clutches, coffee cozies, hot cup jackets, paper zarfs, card-zarfs, cup snuggie and cup holders, are roughly cylindrical sleeves that fit tightly over handle-less paper coffee cups to insulate the drinker's hands from hot coffee. Coffee sleeves are typically made of textured paperboard, but can be found made of other materials. Coffee sleeves allow coffee houses, fast food restaurants, and other vendors to avoid double-cupping, the practice of using two (or more) nested paper cups for a single hot beverage. Some paper cup holders carry advertisements. (source)