A sheet product dispenser includes a housing to partially enclose a roll of sheet product, at least one end-opening at a longitudinal end of the housing to load said roll within the housing, and a longitudinal slit along a length of the housing to allow a leading edge of said sheet product to be unrolled therethrough defined by an upper and lower lip of the housing. The upper lip can flex to contact the lower lip to hold the sheet product in place during a cutting operation. The dispenser may further include a deforming projection disposed on a portion of the lower lip to deform the sheet product during a cutting operation to prevent roll-back of the sheet product.