Is cached pen data kept in the pen?
No cached data is stored in the pen. The LP2 doesn't support splitting in the pen, therefore as long as there is at least one subscribing application to a page address stored in the pen, all of the pen data is downloaded and split on the PC. For any forms that may have been written and don't have a subscribed application, the data is retained on the PC as it cannot be replaced in the pen.
Live™ pen 2
For more details please see https://support.anoto.com/hc/en-us/articles/216416107-What-data-is-stored-in-penDirector-and-for-how-long-