An apparatus and method for cleaning a webbing-up device in a printing press is disclosed. A webbing-up device for webbing up a printing substrate web in a printing press, namely in a web-fed printing press, includes a finite conveyor chain, which is made up of several chain segments that are connected to one another in an articulated manner, and which is guided into a chain guide rail. A cleaning device, which is detachably connected to the conveyor chain, is allocated to at least one end of the finite conveyor chain.