I'm not sure how much leverage Chirac has once Libya has settled its conflict with the US. It seems to me that France's best shot at a big payout was when Libya had no friends. Now that we are prepared perhaps to let bygones be, I suspect its too late, the ship has left the pier.
The US is the power Khadafi has to deal with in Chad at least, not France. Furthermore, Libya and France are competitors in Africa, not allies. I think Chirac has nothing to threaten Libya with.