A dispenser assembly that can be used as a dispenser on a container includes a dispenser body having a flow passage, and a porous flow control member positioned in the flow passage such that the liquid must pass through at least a portion of the porous flow control member before being dispensed. The porous flow control member is operable to vary a resistance to flow of the liquid through the dispenser assembly during dispensing. A valve is provided and is movable between an open position that allows the liquid to be dispensed and a closed position that prevents the liquid from being dispensed. A discharge spout directs the flow of liquid discharged from the container. A dip tube is attached to the dispenser body and extends inside the container to supply the liquid to be discharged to the dispenser body. An attachment portion is provided to attach the dispenser assembly to the container.