Abstract: A dispenser for dispensing flexible web material from a center pull roll capable of accommodating different types of web material in the form of sheets separated by lines of perforation. The dispenser includes dispenser apparatus permitting the device to self-adjust to the different thicknesses, sizes and physical characteristics of different types of web material. In certain preferred embodiments, the dispenser comprises a housing, a web support within the housing and structure permitting the dispenser to self-adjust to the effective cross-sectional area of the web. The preferred dispenser structure includes elements positioned to receive the web between them. At least one of the elements is movable and is biased for displacement toward the other. Frictional force applied against the web by the elements resists pull force applied to the web by a user so that a single web sheet separates from the web along the perforation between the elements and the lead end when a user pulls on the web outside the housing.