A warp yarn take-up system includes a clamping device for holding a plurality of layers of warp yarns, the clamping device being movable at least in a direction corresponding to the advance direction of the warp yarns. The clamping device includes a bottom clamp, a top clamp, and at least one intermediate clamping element present between the bottom clamp and the top clamp. The bottom clamp, the top clamp, and the at least one intermediate clamping element are held together by clamping.