A case for heated appliances. There is a sheath member, a restraining system, and a clip. The sheath member is a single molded piece and includes first and second cradle members and an accordion member coupled to the side edges of the cradle members, thereby forming an enclosure having an opening. The accordion member has a U-shaped cross-section. The restraining system is elongated and is coupled to the sheath by a protruding member through apertures in the restraining system. There is a restraining mode wherein the restraining system compresses the accordion member therebetween. The clip is disposed near an opposite end of the sheath from the restraining system and receives a cord to keep the cord wound about the sheath.