Durable stretch fabrics are made and processed from one or more crosslinked, heat-resistant olefin elastic fibers, e.g., a substantially linear, homogeneously branched ethylene polymer. The fabrics can be made by any process, e.g., weaving, knitting, etc., and from any combination of crosslinked, heat-resistant olefin elastic and inelastic (“hard”) fibers, e.g., cotton and wool. These fabrics exhibit excellent chemical, e.g., chlorine, resistance and durability, e.g., they retain their shape and feel (“hand”) over repeated exposure to processing conditions, e.g., stone-washing, dye-stripping, PET-dyeing and the like, and service conditions, e.g., washing, drying, etc.