A liquid dispenser utilizes a collapsible container that contains a supply of liquid. The collapsible container is received within a chamber that has a stationary wall. A moveable member is adjustable into contact with the collapsible container within the chamber. An indicator displays an estimated amount of liquid remaining in the collapsible container based on a position of the moveable member. The moveable member may squeeze the collapsible container against the stationary wall to thereby increase pressure within the liquid in the collapsible container to urge an outlet valve towards an open position in order to resolve any clogs in the valve.