An easy to clean clamping device has at least one clamping assembly having two jaws. The jaws form at least one recess to accommodate an element to be clamped along the longitudinal axis of the recess. A locking unit is provided to allow closing of the jaws against the force of a spring element. The locking unit has a shaft extending along an axis and through bores of the jaws. The shaft has a head for operating the clamping action abutting against the uppermost jaw. A locking element is provided having a through bore and which locking element can be arranged between the head and the uppermost jaw. One portion of the locking unit has a larger diameter than the bore of the second jaw and the head of the locking unit has a smaller diameter than the bore of the adjacent jaw. The locking element comprises at least one locking surface which can be brought into positive locking with a corresponding surface of the head for blocking removal of the locking element.