A dispenser from which sheet material may be dispensed from a supply of the sheet material carried on the dispenser. The dispenser has a frame on which the roll of sheet material is journaled for rotation about its axis. An elongate blade fixed to the frame has a sharp cutting edge that is adapted for transversely cutting the sheet material after a desired length of the sheet material has been dispensed. A guard strip of resiliently movable material extends along one major surface of the blade and along the cutting edge to help protect the sheet material and/or users of the dispenser from the cutting edge. That guard strip is resiliently movable by pulling the sheet material toward the cutting edge to allow the cutting edge to transversely sever the sheet material being pulled from the dispenser.