The fiber packing in the oil bath air cleaner responds well to solvent cleaning. Back in the dark ages we used gasoline, but that practice these days gives the snowflakes with lace on their drawers a case of the vapors. Kerosene, mineral spirits, or Diesel fuel is less volatile and does almost as good a job of cleaning. Submerge your assembly for a few hours, and shake it a little periodically. Then let hang it up to drip dry and reassemble the cleaner with a fresh fill of cheap 30 weight oil to the proper level. Don't overfill! Depending on the amount of miles you drive, repeat annually, or maybe every 6 months for a daily driver.
Jerry