A dispenser assembly includes a housing having a face and an aperture that allows adhesive bandage carrier to pass through it. The adhesive bandage carrier comprises a longitudinally-extending carrier strip having a plurality of longitudinally-disposed adhesive bandages removably secured to an underlying carrier strip. The bandages are located at pre-determined and equally-spaced intervals along the strip. At the same intervals, the strip includes a plurality of apertures. A first edge of the bandage overlays a portion of an aperture such that the first edge can be easily grasped when the bandage is dispensed. The dispenser assembly also includes a number of rotational means that serve as either "feed" means for delivering a roll of adhesive bandage carrier from within the container or "take-up" means for accumulating protective material that overlays the bandage carrier. Different embodiments of the assembly afford mechanical and electrical actuation of the dispensing assembly.