Not an earth shattering revelation and I may have posted this before, but ....
My hands are like 40 grit sandpaper and I get those extremely painful fingertip splits all winter. I slobber my hands up with all sorts of goo but they split anyway. Ouch.
I disinfect them, sometimes in a Dixie cup full of hydrogen peroxide or if I'm at work with the ubiquitous 75% alcohol wipes. Either way, when they dry I just put a dap of super glue, crazy glue, whatever you want to call it - directly on the split. Give it a minute for the glue to dry and it takes away the pain and allows the skin to heal. I can go right back to work with no issue at all. The dead stuff and glue just wears off in a day or two. Extremely effective if a bit weird.
Incidentally, I noticed that when I use the peroxide and don't let it dry enough the super glue foams up and looks almost exactly like that Gorilla Glue crap that I never have any luck with.