A damping device includes an annular chamber rotatably coupled with the gear selection assembly; a rotating element rotatably coupled with the chamber and fixedly coupled with a gear guide pulley of the gear selection device; and a damping grease volume, the damping grease volume contained under pressure between the chamber and the rotating element and adapted to transfer force between the chamber and to the rotating element. The damping device may be adapted for integration within a gear selection device and for coupling with a linear actuator of the gear selection device. The damping device may be coupled with both a chain pulley of the gear selection device and the linear actuator, wherein the damping device positions the chain pulley within the gear selection device as driven by the linear actuator. The gear selection device may be attached to or comprised within a wheeled vehicle, such as a bicycle.