Abstract: A band to be worn on the limb of a person or animal is provided. The band includes an outer member having an inner surface on which is provided one of a mating pair of fastening elements. A strap is attached to the outer member adjacent an end thereof, so as to define a space between the strap the inner surface of the outer member. An elongated inner member formed of a flexible elastic material is also provided. Attached to either end of the inner member are pieces of the other of the mating pair of fastening elements. One end of the inner member passes through the space defined between the strap and the inner surface of the outer member, and both ends thereof are detachably connected to the outer member via the mating pair of fastening elements.