shhhhhh, don't tell....
....but I used to work at Avid. The first thing we did when we got the first Boot Camp beta was load up Media Composer and a whole bunch of other Windows versions of applications, and they ran fine.
One fun trick is to use MacDrive, an app from MediaFour, so that your MC in Windows can also use the Mac partition for your media folder...which you can of course also use when you decide to use the Mac version of Media Composer.
Don't forget that MC is a fully cross-platform app -- installer and dongle both work on Mac, your user profile with custom layouts and keyboard shortcuts work on both platforms, etc. Feel free to install the same copy of MC on both your Mac and Windows partitions. Pretty cool actually.
Also don't forget - you're not "running" Boot Camp. You're using the Boot Camp utility in the Mac OS to create a shiny new Windows computer. Once you're in Windows on your Apple computer, it's a wall-to-wall Windows machine that doesn't know anything at all about the Mac OS.
Windows, Mac, Media Composer can handle it all...even on the same machine.