The present invention provides at least one anti-sway trolley assembly used in conjunction with either a single sided partition set or sandwiched between first and second partition side in a double sided partition set. The anti-sway trolley assembly comprises a floating rod affixed at a first end to a trolley. Affixed at a rod second end is a floor contact member which provides frictional resistance to lateral displacement of the door. Each anti-sway trolley assembly rides in a chain guide and is affixed to a partition hinge rod. In this manner, a floor channel is not required to achieve resistance to lateral displacement forces.