A system for dispensing a fluid, such as a hand soap or the like. The system includes a dispenser and/or a refill cartridge. The dispenser includes a dispenser body having a refill cavity, a dispenser lid configured to be coupled to the dispenser body, and a pump sub-system mounted to the dispenser lid. The pump sub-system includes a first dip tube, a dispensing orifice, and a pump. The refill cartridge includes a cartridge body having a fluid cavity, a store of a fluid in the fluid cavity, and a second dip tube extending into the store of the fluid. The refill cartridge is configured for slidable insertion into and removal from the refill cavity of the dispenser body. The dispenser lid may be coupled to the dispenser body thereby mating the first and second dip tubes to enable dispensing of the fluid.