"擒纵机构棘轮装置" can be translated as "escapement mechanism with ratchet device" or more specifically as "escapement ratchet assembly" depending on the context and technical precision required.
Escapement mechanism: Refers to the component in a timepiece (or similar machinery) that controls the release of energy in a regulated manner, typically found in clocks and watches.
Ratchet device/assembly: Refers to the mechanical part that allows motion in one direction only, preventing backward movement, which is a key feature of the棘轮 (jǐlún, ratchet wheel) in such mechanisms.
Both terms together accurately convey the concept of a "擒纵机构棘轮装置" in English.