A tape dispenser adapted to dispense lengths of adhesive tape from a roll of adhesive tape wound upon a cylindrical tape core having a first sidewall, a second sidewall generally parallel to the first sidewall, a hub structure and a tape retaining tab extending inwardly from at least one of the first and second sidewalls. A hinged tongue is supported between the sidewall front portions, the tongue includes a front edge approaching the tape retaining tab. An unwound portion of the tape passes between the retaining tab and the tongue, and the tongue is movable between a first position for holding the unwound portion of the tape against the tape retaining tab and a second position allowing the unwound portion of the tape to separate from the retaining tab.