@ A dispenser and dispensing method for flexible web material that is wound into a roll on a transversely split core utilizes a housing having opposed parallel guide tracks to guidingly receive roll core supports projecting from the roll ends and a pivoted control lever providing a lever sensing end to detect the presence of an intact roll core in a roll dispensing position and an upper support end to retain a roll in a reserve roll position. The lever has its sensing end biased toward the intact roll core thereby tending to buckle the split core into sections upon exhaustion of web material from the intact roll core whereupon the core sections with their roll core supports are disengaged from the tracks and the reserve rolls is freed from the lever support end to move to the roll dispensing position.