Is it a true jam, or is it possible that you are short stoking the action? My buddy has problems with the latter. With the nature of the design there really is no room for error. Not saying anything about you, it could be the nature of Ithaca's as they copied the Browning design (if I'm not mistaken, for all I know they could be made for Ithaca by another party) similar to the way they mirror SKB designs for their double barrelled offerings. Usually on a BPS it is an operator error that creates the jam. But like I said I have no experience with the Ithaca's only the BPS.
No the shot shell gets stuck in the extractor and i just have to pull it out. and sometimes it doesnt load the next shell.