A clamping device (1a) for clamping a work piece of a rotating spindle of a machine tool, in particular a balancer, wherein the clamping device comprises a base body (2), which is configured to be fixated at the spindle and which comprises at least one change body (1) which can be coupled to and decoupled from the base body (2), wherein the change body (1) and the base body (2) are supported coaxial to one another and clamped relative to one another in radial direction by roller elements (11), wherein each of the roller elements (11) is disposed in a gap between the base body (2) and the change body (1), which is configured as a wedge shaped gap and adapted to the respective roller element (11), so that the respective roller element can be moved along the wedge shaped gap, deeper into the wedge shaped gap, when the base body (2) and the change body (1) are connected to one another, so that the desired radial clamping is provided.