Hey, maybe my grandmother had something there. At least, the part about cuts in the mouth healing faster. Here's a quote from an article written for the Oral Cancer Foundation:
Saliva, science has revealed, is much more than water. It is packed with proteins that help control the teeming hordes of microbes in our mouths. It is stuffed with substances that make our spit stringy, stop our teeth from dissolving and help heal wounds.
Here's a link to the whole article:
So thanks, grandma. It rained on Easter Sunday of 2013, so I'm keeping watch on the next 7. Just in case.