Pump dispenser, particularly a movable-nozzle pump dispenser, is intended especially for use in dispensing oral medicines e.g. to children. One feature disclosed is a tooth or ratchet structure engageable between the plunger head and the pump cylinder body. This enables optional holding of the plunger at an intermediate position during a dispensing stroke, so that a dose can be given bit by bit. Other proposals are formations around the top of the cylinder body which interact with the inside of the plunger to control or limit movement of the plunger according to their relative rotational orientation. For example the plunger may be locked up unless turned forcibly past a rotational stop. A related feature is a spring lock tab preventing rotation of the plunger unless the tab is pressed to release it. The product container may contain balls to cause agitation.