I'm close! I've been plugging away at it for a couple of hours every other evening or so. Every time I poke at it, I get a little bit closer to cracking what I need to know, which is really pretty cool.
(To be clear: What I have is still far, far away from a full understanding of the file format that would be required to, say, write them, or put together some sort of KlikVM. But I am one structure away from pulling out proper animation data, which feels really awesome.)