In my line of work (locksmithing) I constantly injure thumbs & fingers.
I also have some sort of a condition where my skin splits along the fingerprint ridges and goes very deep. These injuries prevent me from playing the guitar or banjo for a month or so, every time. They hurt quite a bit. Sometimes its infection, others-just really hurts (fibro? RSD?).
I use anti-bacterial ointments, A&D ointment, and a dynamite herbal ointment I found in a health store (recommended by the owner) that really helps a lot in many instances.
But I always am exposed to dirty locks, dirt, cleansers, oils (WD-40), grease, etc.
This does not help the cleanliness of the hands.
I have to carry band-aids in my wallet all the time.