Lighter fuel is fantastic. "Ronsonol" etc, or "Zippo" lighter fuel depending where you are... If you bath the shutter in lighter fuel, remember that it disolves every greasy deposits so you might have to drop a couple of "strategic" lubricant drops afterward.
Also remember that the lighter fuel disolves the grease, /then/ evaporates re-depositing it in place, so it's a good idea to have a "flow" going on, and if bathing doing at least two of them in clean fuel...