Why would an older cat start licking your hands and your face when you haven't changed soaps lotions or makeup?

I'm not a vet, but I've owned cats all my 55 years. They love salty things (like Doritos and potato chips), so I'm guessing you were sweating at the time, or that for some reason, your perspiration is suddenly more salty. You might want to Google "medical causes for salty-tasting perspiration" to see if that is a symptom of something. Hope this helps. GCW Some cats will lick people who are handling them if they get irritated by the touching. Perhaps your cat is not as comfortable being handled now that s/he is older.