+1 for taking the throwout assembly apart for cleaning, inspection, and a bit of oiling, as well.
The bearing in there is lubed by slight oil migration from the gearbox along the pushrod, but until that starts to happen, you can't run the bearing dry. So, I pre-soak the bearing in fresh gearbox oil and "paint" some oil on the pushrod itself when re-inserting it. Be careful with removing the rubber "bellows" as the spring inside can tear the rubber if you let it "sproing" out too quickly/forcefully when removing the actuating arm on the back cover of the gearbox.
When the clutch disk splines strip, as they did for me and azcycle, I think that BMW had hoped that the softer friction disk metal would sacrifice itself without incurring damage to the gearbox input shaft. Well, it doesn't quite work that well in practice. My old gearbox splines (which look just like az's) *might* still work for awhile, but with the tips of the splines ground away, they are already working with much less surface area than they should have, and will / would more completely self destruct in time. So, rather than keep that time bomb going, replacing the partially stripped gearbox splines are highly strongly recommended. Your splines appear to be OK, just clean them and lube as Monte and Rob indicate (a bit of Moly60 on the tip of the pushrod, where it goes to push on the center of the diaphragm spring, will help reduce squeaking. IT is also recommended to put a thin schmear on the back side of the pressure plate where the fingers of the diaphragm spring press against it. I have a whole article (With pictures) of replacing the clutch parts on the forum here somewhere.