Chuck

A detachable connection of two machine parts (1, 4), comprising a chuck assembly (2) arranged on or in a first machine part (1) and a cooperating complementary part (3) on or in a second machine part (4), wherein said chuck assembly (2) contains an axially displaceable tensioning element (6) and several gripper elements (7) associated with said tensioning element (6) and radially movable by axial displacement of the latter, with a clamping surface (19) for contact with a corresponding opposing surface (20) of said complementary part (3), wherein said complementary part (3) contains an outer part (49), an intermediate part (50) arranged in said outer part (49), and an inner part (51) arranged in said intermediate part (50), which are connected to one another by flexible outer and inner webs (52, 53) and otherwise are separated by outer and inner gaps (54, 55), and wherein said intermediate part (50) and said inner part (51) associated with said gripper elements (7) are adjustable by means of adjusting elements (63) in different directions relative to said outer part (49).