Dispensing flexible sheet material involves mounting at least one roll R on dispensing arm means 48 pivotally connected at 54 to a dispenser 12 near the lower end of the chassis so that as material on the roll is depleted the concomitant diminishing diameter roll R will swing down on the dispensing arm means 48 for the roll axis to move through an arc spaced from the axis of the feed roller 24 to wedge the roll surface firmly against the surface of a feed roller as the axis of the roll R moves toward a line extending through the feed roller axis and the pivotal axis where the dispensing arm means 48 is connected to the chassis. When the roll R is essentially depleted it swings past the line and the feed roller 24 into a discard area 60. Dispensing from multiple rolls in succession utilizes an initial roll R mounted as above described and a reserve arm means 66 connected to the chassis through means 76 which permits the reserve arm means 66 to move down vertically relative to the chassis as the initial roll R is depleted to a lower position where the reserve arm means 66 thereupon pivots relative to the chassis and the reserve roll RR engages with the feed roller 24 when the essentially depleted initial roll R swings into the discard area 60 to swing through an arc similar to that which the initial roll R moved through as its diameter diminished.