Does google accept bids under 10 cents per click. The traffic estimator doesn't show results for anything less.
I presume you are talking $US so the answer is yes. Of course, it depends on the keyword and where you want to appear, i.e. in a market with many players $0.10 may only get you an average position in the 100s. Alternatively, in a true niche with a near unique keyword you can get clicks in position 1 for under $0.05 (at least, I do )