Thought that was a genuine disease for a minute... So glad google is my friend
Thinking about it now since quitting I have a few little bits of dry skin but I guess thats just from quitting the cigs.
Well, PG, VG (and the one common in Europe I don't remember the name of... PGE? PEG?) make vapor by absorbing moisture (well, more or less). You may need to up your water intake a bit. Not gallons and gallons (or liters and liters... miles and feet and socks?). Just more. How much more... depends on the person and the vaping habits and all.
I remember when I started doing a nasal exhale regularly, my nasal passages got really dry and itchy and other craziness. But it didn't last and I didn't have to do any major changes in my routine. There is a period of adjustment as your body switches from the old thing to the new thing but there are worse things. Lung cancer for one.
And then there's that one affliction we all have: aging. I've got dry patches popping up here and there for no reason except I'm not 20 anymore.