A wrap for encircling a portion of a living body having a strap of stretchable material allowing the strap to stretch along its length and having inner and outer surfaces of loop attachment material. The strap has a zone of hook attachment material disposed on the inner surface at a location along the length of the strap which provides for detachable/reattachable attachment of the hook attachment material to the loop attachment material of the outer surface. The strap further has a zone of hook attachment material on the outer surface of the strap at a location along the length of the strap which provides for detachable/reattachable attachment of the hook attachment material disposed on the outer surface of the strap to the loop attachment material of the inner surface.