Paper sheet material dispenser apparatus for dispensing paper sheet material from a roll of paper sheet material having a tail, said apparatus comprising, in combination: a housing defining an opening; a roll support (14, 16) within said housing for rotatably supporting the roll of paper sheet material; a rotatable sheet material support roller for receiving paper sheet material from the roll of paper sheet material, said sheet material support roller having a cylindrically-shaped outer peripheral surface; an electric motor operatively associated with said sheet material support roller for selectively rotating said sheet material support roller; an electric switch operatively associated with said electric motor and with said sheet material support roller, said electric switch responsive to rotation of said sheet material support roller caused by a user of the paper sheet material dispenser apparatus pulling on the paper sheet material tail when the paper sheet material is projecting through said opening and the paper sheet material tail extends outwardly from said housing to a first position to energize said electric motor when the sheet material support roller reaches said first position and cause rotation of said sheet material support roller by said electric motor from said first position to a second position, said electric switch including a switch actuator element engageable with an arcuate projection on said sheet material support roller and rotatable with said sheet material support roller to alternatively open or close said electric switch during rotation of said sheet material support roller; and a cutter blade pivotally connected to said sheet material support roller for substantially or completely severing the paper sheet material on said sheet material support roller during rotation thereof, the apparatus characterized by said switch actuator element and the arcuate projection on said sheet material support roller being configured for energizing said electrical motor and causing rotation of said sheet material support roller by said electric motor only after severing of said paper sheet material by the cutter blade and the paper sheet material is at said first position caused by the user pulling on the paper sheet material tail without energization and use of said electric motor, and said electric switch being responsive to rotation of said sheet material support roller by said energized electric motor to said second position from said first position to de-energize said electric motor and present a new tail projecting through said opening and extending outwardly a desired predetermined distance from said housing. a housing defining an opening; a roll support (14, 16) within said housing for rotatably supporting the roll of paper sheet material; a rotatable sheet material support roller for receiving paper sheet material from the roll of paper sheet material, said sheet material support roller having a cylindrically-shaped outer peripheral surface; an electric motor operatively associated with said sheet material support roller for selectively rotating said sheet material support roller; an electric switch operatively associated with said electric motor and with said sheet material support roller, said electric switch responsive to rotation of said sheet material support roller caused by a user of the paper sheet material dispenser apparatus pulling on the paper sheet material tail when the paper sheet material is projecting through said opening and the paper sheet material tail extends outwardly from said housing to a first position to energize said electric motor when the sheet material support roller reaches said first position and cause rotation of said sheet material support roller by said electric motor from said first position to a second position, said electric switch including a switch actuator element engageable with an arcuate projection on said sheet material support roller and rotatable with said sheet material support roller to alternatively open or close said electric switch during rotation of said sheet material support roller; and a cutter blade pivotally connected to said sheet material support roller for substantially or completely severing the paper sheet material on said sheet material support roller during rotation thereof, the apparatus characterized by said switch actuator element and the arcuate projection on said sheet material support roller being configured for energizing said electrical motor and causing rotation of said sheet material support roller by said electric motor only after severing of said paper sheet material by the cutter blade and the paper sheet material is at said first position caused by the user pulling on the paper sheet material tail without energization and use of said electric motor, and said electric switch being responsive to rotation of said sheet material support roller by said energized electric motor to said second position from said first position to de-energize said electric motor and present a new tail projecting through said opening and extending outwardly a desired predetermined distance from said housing.