A metering device for controlling an oil delivery rate for a wet-running clutch. The wet-running clutch has at least one pair of interacting friction surfaces and an actuation unit for actuating the wet-running clutch. The actuation unit has an axially supported support disk and an axially displaceable thrust disk, wherein the thrust disk and the support disk are rotatable relative to one another. The metering device has a first component which is connected fixedly with respect to a housing, and a second component which is connected to the thrust disk in a rotationally conjoint and axially relatively displaceable manner.