Ditto wat Vaughn said. Getting it all back perzactly as it should be can be beyond tricky. I have a three jawed chuck that is driving me buggers trying to get the jaws lined up so they close together.
Personally, if yours works fine, I wouldn't take apart. As an alternative, you can use an old gunsmith trick. Get in a well ventilated area, outside preferably, and blow carburetor cleaner through it to clean. Let dry, lubricate a little bit. (not too much as lube will grab and hold dust) Then use. Do this about once a decade and you should be just fine.
"Folks is funny critters."
Think for yourselves and let others enjoy the privilege to do so, too. ~Voltaire