An embodiment of the present invention is a sleeve, which facilitates the gripping of, and insulates the hand from, a hot or cold container. The sleeve comprises of sheet foam of a thick, opaque, plastic material that is suitable for snuggly fitting over the exterior surface of a container while permitting any pre-printed indicia on the sheet foam to be visible there through. The sleeve is opaque enough to cover any printing on the container itself. The foam is also available in a variety of forms such as anti-static, laminated, expanded and high or low density which provide different degrees of protection. Different density plastic foam and film material is used to achieve the opaque, thick, gripping and insulating effect for use with a variety of containers.