How to save a generator session?

Searching for 'save' yields lots of irrelevant results either for saving data to variables or saving the generators themselves.

Do you know of a plugin (or maybe a built-in feature that I missed despite having gone through the tutorial) which can save a generator's current state or load it from a save-file? There's something like that but only for AI characters I think.

I would just like to be able to save progress on a generator session (e.g. story generator) and later continue where I left off.