Abstract: A novel ice or other temperature-imposing bag holder or retainer that is securely, adjustably, compressively and releasably placed around an injured joint. The presently preferred holders or retainers comprise stretchable material with good elastic memory comprising a pocket or pouch. During use, for example, a bag of ice or some other contained subambient cooling substance is placed within the pocket or pouch and against an injured joint and the entire retainer is stretch-wrapped around an injured joint under tension counter to the memory of the holder or retainer such that the cooled substance is gently and securely applied to the injury for prevention or minimization of swelling. Velcro fastening strips hold the retainer in its stretched wrapped condition upon the injured joint.