Check out the same question over at Can Flex/Flash Record the Screen?, however I disagree with them. You can render the contents of a movieclip into a bitmap image. The stage is one such object you can render, therefore theoretically you could constantly be rendering these into sequential bitmaps, but you would need some alchemy like encoder to get around the performance hit.
By far the easiest way to go is to record the mouse movements, click actions, or use a insanely well build command pattern to re-recreate the experience elsewhere.
Google as3 command pattern. Good luck!