A manually operated liquid foaming dispenser is attached to a bottle of liquid and pumps and mixes both the liquid and air to create a foam from the liquid and to dispense the foam. The dispenser includes a pump housing containing an air pump chamber and a liquid pump chamber, and a pump plunger that is manually reciprocated in both the air pump chamber and the liquid pump chamber. An air piston and a liquid piston are mounted on the plunger and are reciprocated by the plunger in the respective air pump chamber and liquid pump chamber. The air piston is mounted on the pump plunger for relative movement of the air piston on the plunger that enables an interior volume of the air pump chamber to be vented to an exterior environment of the dispenser on manual reciprocation of the pump plunger.
A closure is removably attachable to a container and comprises a dispensing orifice and a tubular valve element that is biased closed blocking communication of the container with the orifice. By inverting the container so that a liquid contents of the container exerts pressure on the valve element, or by squeezing the container causing the liquid contents to exert pressure on the valve element, the valve element opens communication with the dispensing orifice allowing the liquid contents to be dispensed from the container. On removing the pressure from the valve element, the valve element resiliently closes the dispensing orifice.