Thanks all! I've tried the little bags, but the CA seems to burn right through it. The bags in the new kits seem to be a bit thinner, or maybe of a different material than in the older ones. Anyhow, that PR88 sounds like a "might try" item -- and the Nitrile gloves.
I've actually found that the duct tape, whatever that plastic is, is quite resistant to CA -- just fold over a bit of it (about 3-4 inches, sticky sides together) makes a pretty good spreading paddle and it's big enough to keep the glue off the fingers (if you're careful).