a winding device for winding up a web - like material has a roll core , on which the web - like material is wound up into a material roll , and a web guiding roller , which guides the web - like material before or when the web - like material reaches the roll core or the material roll , and a pressing element , which presses the web - like material onto the roll core or the roll after the web - like material already rests on the roll core or the roll . the pressing element is movable in relation to the roll core , and is mounted at both ends in lever arms forming a lever arm pair . the lever arms are mounted so as to be rotatable , and so that the pressing element is pivotable around bearing points of the lever arms .