A refill unit having a lost motion foam pump comprising: a container (104, 254) for holding a foamable liquid; a pump (102, 256) connected to the container (104, 254); a liquid chamber; a liquid piston (122, 276) movable in the liquid chamber; an air chamber; an air piston (124, 273) movable in the air chamber; the air piston (124, 273) linked to the liquid piston (122, 276); characterized by: a lost motion connector (114, 255) linked to the air piston (124, 273) or the liquid piston (122, 276); the lost motion connector (114, 255) having an engagement member for connecting to an actuator of a foam dispenser (200, 250); wherein movement of the lost motion connector(114, 255) in a first direction moves the liquid and air pistons (122, 276, 124, 273) to contract the liquid chamber and the air chamber; wherein movement of the lost motion connector (114, 255) a first distance in a second direction results in lost motion between the actuator and the liquid piston (122, 276) and the air piston (124, 273); and wherein continued movement of the lost motion connector (114, 255) a second distance in the second direction moves the liquid piston (122, 276) and the air piston (124, 273)and expands the liquid and air chambers (276, 272). a container (104, 254) for holding a foamable liquid; a pump (102, 256) connected to the container (104, 254); a liquid chamber; a liquid piston (122, 276) movable in the liquid chamber; an air chamber; an air piston (124, 273) movable in the air chamber; the air piston (124, 273) linked to the liquid piston (122, 276); characterized by: a lost motion connector (114, 255) linked to the air piston (124, 273) or the liquid piston (122, 276); the lost motion connector (114, 255) having an engagement member for connecting to an actuator of a foam dispenser (200, 250); wherein movement of the lost motion connector(114, 255) in a first direction moves the liquid and air pistons (122, 276, 124, 273) to contract the liquid chamber and the air chamber; wherein movement of the lost motion connector (114, 255) a first distance in a second direction results in lost motion between the actuator and the liquid piston (122, 276) and the air piston (124, 273); and wherein continued movement of the lost motion connector (114, 255) a second distance in the second direction moves the liquid piston (122, 276) and the air piston (124, 273)and expands the liquid and air chambers (276, 272). a lost motion connector (114, 255) linked to the air piston (124, 273) or the liquid piston (122, 276); the lost motion connector (114, 255) having an engagement member for connecting to an actuator of a foam dispenser (200, 250); wherein movement of the lost motion connector(114, 255) in a first direction moves the liquid and air pistons (122, 276, 124, 273) to contract the liquid chamber and the air chamber; wherein movement of the lost motion connector (114, 255) a first distance in a second direction results in lost motion between the actuator and the liquid piston (122, 276) and the air piston (124, 273); and wherein continued movement of the lost motion connector (114, 255) a second distance in the second direction moves the liquid piston (122, 276) and the air piston (124, 273)and expands the liquid and air chambers (276, 272).