From Alan Edelman:

could one have a live pluto-video? Step 1 is record every computation from start to finish, and have a timeline that can go backwards and forwards? Step 2 is have audio associated with the timeline. Basically I want something more cool than recording me running pluto.

The answer is... yes! Since the entire visual state is contained in a single object, and all state updates implemented using patches, it should be possible to store the entire history of edits to a file, and play it back like a video.