Embodiments of the present invention include movable partitions and devices, methods and systems that help to limit or prevent lateral displacement of movable partitions. In accordance with one embodiment of the present invention, a movable partition includes two structures, each structure having a first plurality of panels, and each panel being hingedly coupled to an adjacent panel. The two panels are each supported from an overhead track at laterally spaced locations. One or more lateral restraint devices are supported from the overhead track at a location between the two laterally spaced structures. The lateral restraint device may include a trolley disposed in a channel of the overhead track and an elongated member coupled with the trolley and extending away from the trolley to a location proximate a lower edge of the first structure and a lower edge of the second structure.