A clamping device may include clamping jaws that selectively clamp a steering column tube that is adjustable. A clamping pin may connect the clamping jaws. Rotation of the clamping pin in a closure direction causes the steering column tube to be clamped between the clamping jaws, and rotation of the clamping pin in an opening direction releases the clamping jaws for adjustment of the steering column tube. A damping member may be disposed on the clamping pin and connected to the clamping pin in a frictionally engaging or resilient manner. The damping member may comprise a stop tongue that protrudes radially from the clamping pin. When the clamping pin rotates in the opening direction, the stop tongue moves into abutment with the steering column tube and prevents rotation of the damping member so that the rotation of the clamping pin in the opening direction occurs counter to the friction force or resilient force and is damped.