An archery bow sight adapted for tree stand use and of the type which includes a pendulum-like element which is pivotal about a support shaft in response to changes in bow attitude, including angular disposition of the bow. The bow sight is characterized in that there is provided a motion-damping assembly for reducing the time duration of oscillation of the pendulum-like or pendulous element and the sight connected thereto as the pendant body seeks a stable rest position correlated with a given elected and selectable bow orientation. The desired damping may be achieved by any of several types of effective mechanisms and techniques including a damping arm or vane impeded by a fluid medium, magnetic friction forces, and dash pot arrangements.