In a clamp system for a slender object (16), such as a pile or pipe and the like, a clamp (1) and the object are to be applied around one another. The clamp has a frame (4) defining an axial direction. Furthermore, gripping devices (3) are provided which are spaced in circumferential direction of the frame (4). A stop (25) defines an end position of the gripping device (3), the gripping device (3) in gripping state and positioned in the end position prevents the object (16) from displacing with respect to the frame (4) in a first axial direction of the passage (9), in which first axial direction the gripping device (3) is held pressed against the stop (25), and the gripping device (3) allowing the object (16) to displace with respect to the frame in the second axial direction opposite the first axial direction.