A bicycle rear derailleur including a base member and a movable member movably coupled to the base member. A chain guide assembly is rotatably connected to the movable member and a damper assembly is operatively disposed between the chain guide assembly and the movable member. The damper assembly includes a damper disposed in the movable member, and a one-way clutch disposed between the damper and the chain guide assembly. The one-way clutch is configured to permit damping when the chain guide assembly rotates in a first direction. The damper is disposed exteriorly of the one-way clutch.