The math behind this answer suggests that while the delta-v delivered from hand-throwing an object from the ISS would not produce prompt de-orbit and atmospheric reentry, it would still lower the periapsis by tens if not a hundred kilometers (depending on the flexibility of the space suit).
I humorously but quantitatively suggested that a hand-held slingshot device (not the gravitational maneuver of the same name) would be sufficient.
When satellites are deployed from their upper stages, usually some kind of small impulse ensures the separation is clean, well controlled and certain. From the video's I've seen the separation velocities are often of the order of a meter per second. I'm guessing this impulse is often produced by springs or other devices that store mechanical energy.
I'm wondering if mechanically stored energy has ever been used to produce a delta-v substantially larger than this, perhaps 5 or 10 m/s? More?
Question: What is the largest delta-v ever produced in space from mechanically stored energy?
For the purposes of this question, energy stored as a compressed gas, or phase change wouldn't count. The source of energy should be something along the lines of springs or other elastic material held under mechanical stress or rigid body phenomena. Also while I'm primarily interested in intentional events, unintentional events might also apply.
edit: since there are several comments about rotation, I'll say it explicitly that energy stored as rigid body rotation is also allowed, and two (or even a few) objects connected by a line under tension would count as a rigid body rotation as well, for the purposes of this question.
GIF from Scott Manley's video The Antares Rocket - NASA's Less Famous Ride To The Space Station showing a stored energy device imparting a delta-v between the first and second stage of an Antares rocket.