A driving device for an elongated element such as a cable includes a device for simultaneously and symmetrically moving two driving track belts apart or closer together in relation to the elongated element. With this driving device, the two track belts can be brought against the elongated element while the elongated element's longitudinal axis remains constant. A single handle allows for simple adjustment of a gap between the two driving track belts and a spring device absorbs instantaneous variation of a transverse dimension of the elongated element.