The present invention is a flow-thru cosmetic dispenser and applicator that comprises a means for controlling the flow of product from a reservoir to an applicator tip. The flow control means comprises wedge structures attached to biased hinges. The wedge structures move on the hinges in response to the removal or placement of a closure. The movement of the wedges alternately opens and pinches-off a deformable conduit in which the product flows. The invention includes means for converting any ordinary cosmetic container into a flow-thru container.