Stick your fingernail in the top part of the outer ring.
Pry the ring out lightly with your finger nail.
Pry out the 2nd ring VERY lightly, as the 2nd ring is very thin and easy to bend.
Take out the base of the trackball, again by prying it out with your finger nail.
Use rubbing alcohol and a Q-Tip and DON'T soak the Q-Tip with the alcohol, jut have a little bit on the swab and let the cotton swab roll around the trackball to remove any excess dirt and make ur ball cleaner ! Then use the opposite side to dry it of course....
Do the same thing you did when you took it apart, and you may want to use a lead pencil to get the 2nd ring into its place because there is a small slot to get it in... If you want pictures on how to get the trackball together, just ask !!