You haven't mentioned the brand of brass.
I posted a thread about Hornady 338LM cases being too long for the tight Savage chamber.
If you are using Hornady cases, see if they're not over length... the ones which stuck in my 110BA's chamber were 2.730... about 15 or so thousandths too long for the Savage's chamber.
I have had no issues with Lapua cases at all... and they're at 2.715" virgin case length, and also length after firing.
Tight chambers on these rifles...