I don't disassemble them: too much fuss getting things back together. Instead I usually dose a rag in rubbing alcohol and clamp the rag overnight, let the alcohol soak in, then rub the surfaces dry. On occasion I use the grit cloth, which works exceptionally well.
I've learned that it's good to clean them more often than you might think, even before you overtly notice a poly buildup on the clamp surface.
To Praise, To Bless, To Preach--the Dominican Order