The axle(13) of the winding device by its inner end section(I) freely protruding into the winding spindle is axially movable in relation to it. The first clamping end(E) of a torsion spring accumulator(14) is attached on the inner end section of the axle, and the outer end section(A) of the axle has a primary coupling element(30) which through axial movement of the axle relative to the spindle can engage or disengage a secondary coupling element(31) coupling the spindle.