I'm surprised no one mentioned that it helps a great deal to put your stock in a warm place when using absorbent compounds such as whiting or kitty litter to remove oil from the wood. The warmth brings the oil to the surface. Summer is a great time to do this because you can put the stock in a box with a glass top and accomplish this with free solar heating.
I only use solvent soaks as a last resort, and avoid prolonged soaks because solvents such as acetone or lacquer thinner will damage the lignin and cellulose structure of your wood. Once you are satisfied with your de-oiling, you should get your finish on fairly quickly because traces of oil will continue to migrate to the surface. I don't believe it is possible to get all of the oil out of a stock without damaging the wood.
