I've researched this on the web and on the Cameron Collector and I found many answers to this question, some which seemed to conflict with others. So, I wrote the good folks at the Cameron Studio and I got a response in less than 24 hrs. Here is a copy of their response for those who would like to know...

Hi Scott,
We recommend 3 in 1 oil and baby oil only. Also, make sure you do not leave the putter in the head cover after your round as the headcover absorbs moisture easily. Bring your putter inside, take the head cover off and turn it inside out to let it dry over night. Oil the putter and even wrap the oil cloth or soft cloth around the head if you like. That should keep it from rusting. You can purchase a Cameron oil cloth at our on-line Studio Store under Accessories if it is in stock.
Thanks!

There you have it, straight from Scotty's mouth (or at least someone that works for him)