Abstract: The wrist or headband described herein is of composite construction, specifically, an essentially continuous elastic band or sleeve, which is anatomically conforming in overall dimensions to the approximate wrist or headband size of a wearer; and, a moisture absorbent material, associated with at least one end of the sleeve, to wick moisture from the interface of a wearer and the sleeve into a reservoir located on the exterior surface of the sleeve. The sleeve is preferably fabricated of the same material as the foam fabric used in the fabrication of a SCUBA diver's suit, specifically, a closed cell foam. The thickness of such materials is generally uniform throughout the device and designed to provide more than adequate thermal insulation for the source of cooling energy housed within the device. The sleeve is further modified on the interior surface thereof (also “skin contact surface”) to accommodate a source of thermal energy (also “chill pack”).