Paper toweling dispenser apparatus for dispensing paper toweling from a roll of paper toweling and resisting formation of paper toweling overspin slack, said apparatus including in combination: a roll support structure (12, 24, 34) for supporting a roll of paper toweling with said roll of paper toweling being rotatable when a pulling force is applied to said paper toweling; a rotary damper operatively associated with said roll support structure (12, 24, 34), said rotary damper alternatively having an operative condition, wherein the rotary damper substantially or wholly prevents formation of overspin slack in said paper toweling resulting from said pulling force and an inoperative condition; and a control mechanism operatively associated with said rotary damper to change the rotary damper from said operative condition to said inoperative condition responsive to reduction of the diameter of said roll of paper toweling to a predetermined value during dispensing of paper toweling therefrom, said roll of paper toweling being rotatable relative to said roll support structure (12, 24, 34) when a pulling force is applied to said paper toweling, said roll support structure (12, 24, 34) including a roll support arm and said rotary damper is located adjacent to said roll support arm for resisting rotation of said roll of paper toweling when the rotary damper is in said operative condition, characterized by said roll support structure (12, 24, 34) including a hub positioned in an end of said roll of paper toweling fixed against movement relative to said roll of paper toweling and rotatable with said roll of paper toweling, said rotary damper when in said operative condition being connected to said hub to continually resist rotation of said hub and that roll of paper toweling. a roll support structure (12, 24, 34) for supporting a roll of paper toweling with said roll of paper toweling being rotatable when a pulling force is applied to said paper toweling; a rotary damper operatively associated with said roll support structure (12, 24, 34), said rotary damper alternatively having an operative condition, wherein the rotary damper substantially or wholly prevents formation of overspin slack in said paper toweling resulting from said pulling force and an inoperative condition; and a control mechanism operatively associated with said rotary damper to change the rotary damper from said operative condition to said inoperative condition responsive to reduction of the diameter of said roll of paper toweling to a predetermined value during dispensing of paper toweling therefrom, said roll of paper toweling being rotatable relative to said roll support structure (12, 24, 34) when a pulling force is applied to said paper toweling, said roll support structure (12, 24, 34) including a roll support arm and said rotary damper is located adjacent to said roll support arm for resisting rotation of said roll of paper toweling when the rotary damper is in said operative condition, characterized by said roll support structure (12, 24, 34) including a hub positioned in an end of said roll of paper toweling fixed against movement relative to said roll of paper toweling and rotatable with said roll of paper toweling, said rotary damper when in said operative condition being connected to said hub to continually resist rotation of said hub and that roll of paper toweling.