Mine doesn't have any buzz, but it is not an uncommon problem.
This page has some great ideas to kill the buzz... http://www.webrocker...ms/the-goodies/
Now, I have a question too. Mine doesn't have the tremolo arm and I am having the hardest time finding the correct one. I've got one that is the "snap in" non-threaded kind supposed to be for Japan re-issues, but it still is too small to have a snug fit. It falls right out. I don't have my caliper here to see what the difference between the bar and the hole are, but as I said, it falls right out.
I've seen some of these tremolos with a black-tip and some with white tip. The Fender website seems to not have the 2007 purple JMJM listed anymore.
You need the domestic market Japanese unit, not the Japanese export one.
This is the only place that definitely sells one:
scroll down to: JZJG4261-C
Alternatively you can upgrade to a USA collet and arm, replace both and you're golden.
Even better. buy one of these:
I think that's the same trem fitted to the johnny marr signature jaguar.