A garment consists of a close-fitting sleeve body formed of a stretch textile, and which includes an open upper end, an open lower end, and a body-receiving volume extending through the sleeve body from the open upper end to the open lower end. Opposed, spaced-apart, surface-gripping parts are applied exteriorly to the sleeve body near the open upper end and the open lower end, respectively. The surface-gripping parts are each formed of a gripping material different from the stretch textile, and the gripping material is slightly sticky or adhesive so as to cause the surface-gripping parts to grip, and to resist slipping relative to, surfaces they come in direct contact with without leaving a resulting residue on touched surfaces.