a center pull tissue dispenser comprising or including , an openable enclosure defining member , a base member located within the enclosure with which a coreless roll of towel material is located in a manner such that an axial end face of the roll is placed therewith , and an opening in a wall of the openable enclosure defining member to allow the towel material to dispense therethrough , wherein downstream of the support of the roll by the base there is provided a dispensing characteristic adjustment mechanism which includes , a passage way through which the towel can pass , and a passage way restriction controlling member movable relative to the passage way .