Abstract: The invention contemplates a chain-making machine having the capability of making continuous chain wherein successive links follow a predetermined relative size and shape, with selective applicability to different input materials, including wire and/or flat ribbon, for the respective successive links. For each link-forming cycle, the production of one kind of link may call for one kind of motion in a manufactured-chain accumulating device, while production of another kind of link may call for a different kind of motion in the accumulating device, yet the machine includes provision for proper accommodation of these different motions, as each different link is formed, to the end that the resulting product will be free of entanglement.