Hey Gearfreak,
When I get a load of superglue on my fingers, I put some fresh superglue on the old glue and then "grab a hold" of something fairly solid. A vice or anvil works nicely... Then pull real hard!!!
The new superglue pulls off all that old superglue and all that "old dead skin..."
But hey, you didn't say you didn't want it to hurt... (Ha, ha, ha...)
Really, when I've rubbed my fingers down and they are starting to get a little tender, I just wrap a piece of the "handyman's helper," duct tape around my finger or put a layer on the palm of my hand...
Duct tape wears a lot better than a thin layer of superglue and it doesn't need some "very nasty" chemical to get it off...
Good Luck,
Bruce Jensky