I used to just spray them down with CLP, but didn't care for them remaining wet. I now use Hornady One Shot gun cleaner and lube on collets and many other things. It cleans and leaves a dry protective film, likely similar to the products mksj spoke of above. After use I simply spray down the collet, set it aside for a minute to dry, and return it to its storage. A quick shot of brakleen or contact cleaner down the bore of the collet and it's ready to go to work.
I live in California as well, but on the coast, in fact on an island surrounded by salt water; rust is very well known here and I have to be vigilant.