I'll echo Jason, and will add that Mark has suggested that the cutting oil isn't necessary, that the cutter seems to work fine and last quite a long time without it. In the workshop, they cut the plates without oil, and have the participants just use dish soap to (thoroughly!) clean the plates. Using your hands to do the cleaning takes off sufficient oil from your hands that it tends not to leave any on the plates, although Madge might not approve.
No promises, but I've been following Mark's suggestion and cutting mine without the cutting oil and have had no obvious issues, and haven't had to deal with removing the oil. When reusing plates (i.e., cleaning off old emulsions with dilute bleach) I do occasionally use a bit of whiting to make sure I haven't left anything behind, as once or twice I've had a plate reject the emulsion in spots, presumably from a bit of old stuff left on the plate. That has not happened since I started using whiting.
Robert