Once you create animation (keyframes on the timeline) you can save that as a Pose pre-set (animated poses) or, as an animation file EG: BVH / FBX / Collada
If you want to save different parts of the figure animation, you’d need to create/record those parts, then save them, making sure you only save the animation for the parts of the figure you’ve animated. EG: arms only..
You should also be able to save the Puppeteer poses you’ve created as a “Puppeteer pre-set”, then you can load another figure and use the same Puppeteer pre-set to create another animation.
If I start off simple and just record genesis 1 moving his arm, so just two key-frames.
in this case you’ve created two poses, which you can save as Pose pre-sets ,... then you can apply those at any point in the time-line to create a key-frame,.. (note) this will often create keys for all parts of the figure (complete figure pose) Unless you specify that only parts of the figure pose are recorded.
Hope it helps