Abstract: A gripping sleeve for a beverage cup is disclosed. The beverage cup has an outside surface which is tapered from a smaller diameter to a larger diameter bottom to top. The gripping sleeve has an open web of material defining an expandable tube having an inner cup side surface conformable to said outside surface of said beverage cup, and an outer gripping surface, and the tube expands to a maximum tube diameter. The maximum tube diameter is smaller than the larger cup diameter but larger than the smaller cup diameter. The open web is formed from a plurality of strips of material joined together which are oriented generally radially, when viewed from above, between the inner cup side surface and the outer gripping surface. The gripping sleeve provides a gripping surface for a person holding the cup which is spaced apart from said outside surface of said cup.