Swaying meaning : To move or swing from side to side; or backward and forward; to rock. To move or wield with the hand; to swing; to wield. To influence or direct by power, authority, persuasion, or by moral force; to rule; to govern; to guide. Compare persuade. To cause to incline or swing to one side, or backward and forward; to bias; to turn; to bend; warp. To hoist (a mast or yard) into position. To be drawn to one side by weight or influence; to lean; to incline. To have weight or influence. To bear sway; to rule; to govern. The motion of something that sways. An injury caused to a horse's back by violent strains or overloading.