A 2001 cluster will fit, and will work, however, the Brake light will be on all the time, due to software changes between 01 and 02.
In addition, whatever mileage is on the new cluster will show up when you plug it in, since the mileage is stored in the cluster.
You can get the mileage changed to match what is on your car now. Try this link:
http://www.bbengineer.com/
He can also help with any other service for the cluster.