A manually operated pump and a method for pumping a preferably cosmetic liquid are proposed in which actuation is performed either by manual linear actuation or by swiveling actuation using a lever mechanism. The pump can be equipped with a locking device that blocks actuation of the pump in the locked state. The delivery head of the pump can be integrally formed with the swivel lever. Moreover, components of the pump can advantageously be provided with a flexible or elastic layer.