YES!!!!!!!!!!!!! I had that same problem when I initially shot my Tikka with Burris rings and bases. Does it look like this?
What I was told by Tikka, and later Warne (the company that I bought NEW stuff from) is that with the power of a 338 Win Mag, there is no reason to EVER use bases on it because they are almost guaranteed to snap one way or the other. He tells me that Tikka has bases installed right into the reciever!! (Look on the top of the reciever, and you will see what I mean - there is a ridge that runs along each side to accept a ring). Warne makes rings that will fit right into that reciever and not even MOVE. I have a few boxes of ammo through my 338 with these on it, and nothing has shifted and will not. The rings are of high quality, and strong as ****. If you want product number, I can go look for you if interested. So..... Now, here is what my mounts look like (without crappy bases):
That set up there is solid as a rock. The only problem I have now is managing this recoil!! I am by no means a recoil puss, but even with the Limbsaver pad on there she HURTS.
If you have any other questions please feel free to ask.