I disassemble the clamps and sand the teeth surfaces and the center spacer with 120 grit abrasive cloth (buy a sheet from your local hardware store - Bunnings in Australia for example - and cut a manageable size say 2 inches long by 1 inch wide). I don't believe you can really clean the surfaces effectively if you don't disassemble.
After sanding, wipe the surfaces with a dry cloth to get the dust off and reassemble. Screw the 4 little screws in keeping them as even as possible until they meet the screw opposite. That's all there is to it. I clean mine around every 18 stringjobs but I reckon they could be left for a lot longer than that. By the way, if the sanding scratches the surfaces, don't worry as the idea is to rough the surfaces up to increase holding ability.
Pro Kennex Kinetic Pro 5G