A chuck arrangement associated with a radial direction, an axial direction and an angular direction in which the chuck arrangement is arranged to rotate about said axial direction, which chuck arrangement comprises at least three chuck jaws, each arranged to, in an assembled state of said chuck arrangement, be arranged to be radially displaceable into a respective clamping position in which it applies a radial clamping force to a workpiece being held by the chuck arrangement, wherein each chuck jaw comprises a respective chuck jaw fixing means arranged to radially fix the chuck jaw in said clamping position, wherein the chuck arrangement further comprises one respective counterweight-associated with each of said chuck jaws, each of which counterweights, in said assembled state, being mechanically connected to the chuck jaw in question and associated with a respective centre of gravity which in turn, in said assembled state, is arranged so that the counterweight, via centripetal forces developed by the counterweight in question, pulls its respective associated chuck jaw in a pull direction having a non-zero component radially towards a centre of rotation of the chuck arrangement as the chuck arrangement rotates in the angular direction, wherein of said chuck jaws comprises a respective radially displaceable backing chuck jaw part and a respective clamping chuck jaw part, and wherein, in said assembled state, the respective backing chuck jaw part is mechanically connected to the counterweight associated with the chuck jaw in question, wherein each of said clamping chuck jaw parts is axially rotatable in relation to its corresponding backing chuck jaw part.