I use acetone to cleanse the wood and whitening to 'blot' up the oil.I seal inside the stock and the inletting with spar varnish.
But I think the most important thing to do to get a good finish is to fill the wood pores with you finishing medium/sanding slurry.Once this is done apply your oil a LITTLE but OFTEN.
DO NOT flood the surface with finish and let it sit until it is a gooey mess.No matter how many times I tell people not to do it, they still do.You only need a spot of oil as big as your thumb nail for each side of the stock and then spread it and rub it in.If your thumb nail is as big as a shovel wipe off the excess with paper towel and then burnish the remainder in.Set the stock aside in a warm climate for a day, then re-do.When you feel it is finished, apply a slurry of oil & rottenstone and polish to a finish.Then put it in the gun cabinet and never take it out to shoot because it will be too nice to mark.