A wrap for encircling a portion of a living body has a relatively non-stretchable support and a strap that has an attached zone attached to the support. The strap is relatively stretchable along its length as measured from that zone and long enough to encircle the portion of the living body and attach, with some stretching, back to an attachment means on the support for keeping the encircled portion of the body wrapped. The strap has relatively stretchable material that stretches with stretching of the strap and serves to attach the strap back to the attachment means on the support after having encircled the portion of the body.
