You can add some aloe leaves to this setup (one more nature's gift for those who like to hurt themselves - some people have it home as a pot plant - a fat good leaf rinsed in water and splitted with a sharp knife in two juicy stripes is another option).
Can not replace professional therapy and medicines, of course, especially in heavy cases but helps to relieve this initial annoying pain and rehydrate the damaged skin in a natural way until you get something more professional. And what is important - it can not harm further, comparing to hand cream or face lotions people grab sometimes that may contain alcohol, fruit acids, silicon and other stuff that can further spoil the picture.
But all these hints are good for the minor cases and just in case there's nothing better.