The invention relates to a portable dual advance dispenser for a supply of linered tape material having an adhesive tape mounted in separable strips on a release liner. The dispenser includes a frame for supporting a supply of linered tape material and a dispensing apparatus for dispensing desired portions of the linered tape. The dispensing apparatus includes a rotatable liner dispensing member which directs a portion of the liner in a different direction from the adhesive tape, a rotatable adhesive tape material dispensing apparatus for dispensing the adhesive tape, a separation member to separate the liner from the adhesive tape, and a drive transfer mechanism which causes interaction between the rotatable adhesive tape material dispensing apparatus and the rotatable liner dispensing member. If the user selects a first dispensing option, adhesive tape is pulled from the adhesive tape dispensing apparatus, and the liner is advanced through the liner dispensing apparatus. If the user selects a second dispensing option, then the liner is pulled from the liner dispenser apparatus, and the adhesive tape is advanced through the adhesive tape dispensing apparatus. The linered tape may be dispensed by grasping either the liner or the adhesive tape.