Rich - brilliant! I would likely have destroyed the two side panels before figuring out that removing the bottom cap was the key to starting disassembly. I used a soldering tool that has a sharp pointed hook to pull it off. You have to be careful not to break the snap-in tabs, otherwise you won't be able to securely fasten the case back together again.
I needed to take apart my 8595 to replace the broken moustache/sideburn trimmer assembly. Braun does not offer the trimmer as a separate replacement part, and you cannot order what they offer to fix this problem from them online. You have to purchase the set of two front/back half-case shells (part #7030247) which includes the trimmer assembly from an authorized repair center for about $30CDN. BTW, in looking for this answer, it seems that a broken trimmer (there is a flange clip that breaks off on the side of it that normally keeps it inside of the slide switch) is fairly common.
Once you do get the 8595 apart, by first popping off the bottom cap that surrounds the power jack, you will need a small torx screwdriver to remove the four screws that hold the half-case shells together. The motor/head and electronics/battery/display are two separate units that sit in the shells.
Joey Lee
January 2009