A driven accessory comprising a first rotary clutch portion, a second rotary clutch portion, a wrap spring and an actuator. The actuator is selectively operable for generating a force that is applied to a second end of the wrap spring. The actuator includes an actuator input member that is rotatable about a rotary axis relative to the first rotary clutch portion. The actuator input member is axially movable along the rotary axis between a first position, in which the actuator input member is drivingly engaged to the first rotary clutch portion to cause the wrap spring to uncoil against a clutch surface on the first rotary clutch portion such that rotary power is transmitted between the first rotary clutch portion and the second rotary clutch portion, and a second position in which the actuator input member is disengaged from first rotary clutch portion.