Have you discovered the Lee Loadmaster forum yet? It's not run by Lee, it's run by a guy who decided to start it up on his own dime, and he keeps it going out of his own pocket.
http://forums.loadmastervideos.com/forums/index.php
Get into the Loadmaster discussion area and there's a guy by the screen name of Magic Mike who offers some gadgets and gilhoolies to tweak the performance and reliability of the Loadmaster. One of his add-ons is, I believe, a retainer to keep the die holder turret firmly in place.