A dispenser includes a flow-through gasket and a lower valve having a reservoir for containing a product. The flow-through gasket has at least aperture to provide a product delivery passage when the dispenser is selectively rotatable along a helical guide slot to a raised position. When the dispenser is selectively rotatable along the helical guide slot to a retracted position, the dispenser is in a stored state. In some examples, the flow-through gasket may be made of a material having elastomeric properties.