Mechanically the boxlock is not too complicated, but as stated, the springs are very powerful and under great tension. A strong man with a pair of needle nose pliers and a bench vise can manage it, but it would be very possible to put out an eye with one of those springs.
If you have it down to three pieces - barrels, fore-end, lock and stock, yes? - then you should be able to remove the lock from the stock, revealing the inner parts enough for simple cleaning. There are usually a couple of screws in the tang holding the reciever on to the stock, and on some models the trigger guard also unscrews to release the trigger group.