An improved squeeze chute provides compliance between the side gates or side panels of the squeeze chute. Squeeze chutes generally include pivoting side panels that move between an open position and a closed position. A hydraulically driven rock shaft assembly is rotated by an actuator and is connected by linkages to the upper ends of the pivoting side panels. Compliance in the closing action of the panels is provided by interposing a compliant torsion assembly between the actuator and the rock shaft. The compliant torsion assembly has a first portion that surrounds the rock shaft and a second portion which surrounds the first portion. Elastic elements are interposed between the first portion and the second portion. A tab extends from the second portion to which one end of the actuator is attached. The other end of the actuator is attached to the frame of the squeeze chute.