Polymeric compositions for enhanced wound or burn treatment characteristics and other medical, industrial, recreational and domestic applications can be formulated as biocompatible, elastomeric, polymers. Such compositions can be used as advanced wound or burn care dressings or for other medical and non-medical purposes. The compositions generally comprise a polymeric component including a polyurethane oligomer or polymer with one or more hydroxyl-containing acrylate or methacrylate terminal groups thereon, and an effective amount of a mercaptan (thiol) to regulate elastic and adhesive properties of the cured composition. During medical uses, the composition may be applied in a thin layer on the affected area and a generous portion of the adjacent healthy skin. The composition is then cured such as by exposure to an external energy source, for example a visible light or an ultraviolet light or infrared light or sunlight or a combination thereof, to form an elastomeric dressing. When the healing process is completed, the dressing can then be peeled off the skin. Articles of manufacture incorporating the polymeric compositions, which can be used in various products, are also provided.