An appliance for use in conjunction with the Lilly controller for controlling the landing speed of less than 5 ft/s (1.52 m/s) when workers are being transported by winding. On each dial of the Lilly controller, an auxiliary dial is bolted to carry a slow-banking cam engaging near the end of the wind with a roller arm. The action of the appliance depends on the relative rate of movement of this roller and that of the piston in an oil dashpot cylinder.