"擒纵机构棘轮装置" can be translated into English as "escapement ratchet mechanism".
Here, "擒纵机构" is translated as "escapement mechanism," which is a key component in mechanical watches and clocks that controls the release of energy from the mainspring in a regulated manner. "棘轮装置" is translated as "ratchet mechanism," referring to a device that allows rotation in one direction only and prevents motion in the opposite direction, often used in conjunction with the escapement to ensure precise timing.
Combining these two terms, "escapement ratchet mechanism" accurately conveys the meaning of "擒纵机构棘轮装置."