A chuck with a chuck body having a guide opening and an actuating element, and with at least one interchangeable clamp that can be inserted into the guide opening. The clamp has associated therewith a rotary disk with a blocking element that secures the rotary disk against rotation relative to the chuck body during insertion of the clamp into the guide opening. This makes it possible that, upon a rotation of the clamp about the longitudinal axis in the guide opening, a segment can be displaced outward toward the chuck body by the rotation relative to the rotary disk, via which the clamp is detachably secured on the chuck body. A clamp with a clamp body, a pivot body located in the clamp body, and a chucking element is also provided. The clamp has, at the opposite end of the clamping element, a locking unit that carries the pivot body.