Unplugging graphics tablet stops mouse working!

I've recently purchased a Wacom bamboo tablet. However, since installing the driver, I have to keep the Bamboo permanently plugged in otherwise my Logitech wireless mouse starts behaving erratically and within a few seconds stops responding altogether! The mouse is one of those that use a receiver dongle plugged into the usb port. I've tried uninstalling the Bamboo driver but it makes no difference (there's no problem when a wired mouse is used, and there's no logitech driver to uninstall). I don't wish to stop using this mouse, and shouldn't have to, but the initial installation of the Bamboo driver seems to have added something to my system, that uninstalling it with the Bamboo uninstaller doesn't remove, otherwise everything should revert back to how it was before. The whole thing is strange though, because if there is some kind of conflict based on interference, you would've thought it would happen when the tablet's plugged in not when it's removed?

Any ideas on how I might solve this?