The present invention relates to an apparatus (100, 200, 300) for cutting, centering or holding a cable in a stripping head, comprising a first toothed belt wheel (1) and a second toothed belt wheel (2), which are rotatable coaxially and synchronously, but however in an angularly adjustable way with respect to one another, about a rotational axis (X), as well as a tool flange (21) coaxially connected to the first toothed belt wheel (1), in which a central opening (A) is disposed, through which the cable is able to be led or passed, the tool flange 21 comprising one or more movably attached tools (23), whereby the tools (23) are movable in relation to the rotational axis (X) by means of the positioning means (18) connected to the second toothed belt wheel (2), characterized in that the radial distance of the tools (23) to the rotational axis (X) is adjustable through an angular rotation between the first toothed belt wheel (1) and the second toothed belt wheel (2), which are driven by a common drive means (13). Moreover the present invention also relates to a cable-stripping device comprising an apparatus according to the invention.