A power transmitting chain that operates between continuously variable pulley sheaves, but which is retained by radial locking forces rather than by teeth, sprockets, strain forces, or tangential friction. The chain is comprised of three basic elements: 1) An inner drive-chain of conventional chain links, which transmits power, but which is free-floating with no contact with the sheaves; 2) an outer series of chocks which immovably wedge into place between the sheave faces; and 3) radial links that are arranged to form the connections between the drive-chain and each of the chocks. The connecting links pivot or swing longitudinally, in both directions at both ends, and are arranged radially, so only radial forces are transmitted between the drive-chain and the chocks. With the primary vectors nearly perpendicular and restricted to angles well below tangency, the chocks are immovably seated and will not slip. However, as the radial links are slightly angled, they also duplicate the necessary horizontal vector components to rotate the sheaves.