In 2000 years, there would be almost no noticeable change. Very few bright stars (which the recognizeable constellations consist of) have a large enough proper motion to shift position much in that short amount of time.
There are quite a few dim stars that have large enough sky motion to have shifted a considerable amount in that time, though.
I'll see if I can find some quick info.
The star with the largest proper motion, Barnard's star would have moved nearly 6 degrees in that time....12 times the dimeter of the moon. However, it is magnitude +9.5, so you need a telescope to see it.
Here's a tool to help answer your specific question. I haven't tried it yet myself, but I will when I get a chance: