A sleeve for wear on a body limb includes a sleeve body and a strap body. The strap body includes straps with fasteners at or near the ends of the straps for attachment to the sleeve body. An arm sleeve includes a thumb opening connected to a tension strap that extends along the length of the sleeve. The arm sleeve is configured to apply a twisting force when the opening is placed on the thumb. An arm and shoulder sleeve includes a lower sleeve, and upper arm cover and straps extending from an elbow band to extend from the upper arm cover for attachment to another garment.