I've had really good luck with the new version of Firefox. Usually, I find that outdated versions of Flash matter more than your browser. If you see any pattern to your problem PM Lupos and he;ll take a look at it. I've been skimming the battle records for a while now, and I noticed that some users have almost no dropped battles, even after 200 battles, while others seem to have them all the time.
"Scissors are overpowered. Rock is fine." -Paper