An anchoring system for a floating structure is described. The anchoring system is of the type which employs a combination anchor line consisting of a lower length of chain cable connected to an anchor and an upper length of wire rope and which involves disconnection of the wire rope from the chain cable during paying out and retrieval of the anchor line. A winch and windlass mounted on the floating structure serve to separately haul in and pay out the wire rope and chain cable, respectively. The windlass has a length of lead chain which can be used to lead the chain cable over a chain wheel to the chain locker. An overwide chain link terminates the chain cable, and together with a pair of detachable links permits the load of the chain cable to be transferred directly from the winch to the windlass, during paying out and retrieval, without the requirement for an intermediate chain hanger. The fairlead sheave and the chain wheel associated with the windlass are designed to convey the overwide chain link as if it were any other link in the chain line, and consequently no swivels or other special measures are required to ensure that the overwide chain link is properly conveyed over these devices.