hey there -
check out my post on this issue
just search for whining screeching engine or go to my profile thing and click on all posts...
I had the water pump replaced on my brand new mini, which may or may not have made a difference, it also went into the garage on several occasions.
I have now done 1600 miles and the noise at idle and when at 30ish with the windows open has got a lot quieter. Also its now sometimes not there until the engine has warmed up.
The garage started up a couple of other minis for me and one made the same noise, and I have heard a couple of coopers making the same noise at traffic lights.
Whether they should all do this / whether it gets quieter as the miles pile on I do not know. All I can say is it drove me mad, but is now a lot quieter.
:-)
Update us if you find out it is something serious....