Some years ago, I heard of a very old recipe for antibiotic that came from before chemical drugs. The recipe was passed down through the generations of one family who refers to it as 'Schlemmer Salve' according to their family name. It has bees wax, sheep tallow, butter, and rosin, cooked up with a quick shot of gin. It is shelf stable for at least 20 years. Most of these items have known antibiotic qualities. For instance, rosin comes from pine sap which is a known antibiotic. This is what I use for a variety of things including dry cracked lips in the winter, any wounds which I want to heal quickly with minimal scars, and any wounds that resist healing. It's been said to be extremely effective for diabetic wounds that refuse to heal. I have experimented with my cuts and scrapes and found that putting it on my worst scrapes causes them to heal faster than the nearby less bad scrapes that I did not put it on. So it definitely does something! I once got a nasty 1 inch long deep cut on the bottom of my foot while on vacation hiking and search for jade. I was able to continue my jade hunt only by constantly applying this salve which kept the wound soft and happy even though I was walking on it for days (still kinda hurt but was tolerable). So I really like stuff, plus it does not smell bad nor sting when applied. I keep a small vial of it with me at all times in my purse. It's really amazing how fast things will heal with this stuff slathered on and then a bandaid on top to keep the stuff from rubbing back off.
I come from a racetrack (horses) family. Most of my time was spent around Thoroughbreds but there was a 2-year stint with harness horses. When horses would get chafed, we used bacon fat to heal them because the hair would re-grow the original color rather than white (modern salves.) So I've smeared bacon fat on sores a few times and they always healed great (and smelled good too.)
Like Paleolady, I don't always put anything on small cuts and scrapes but if I do it's honey. If I have a place showing signs of prickly heat or yeast infection I smear on a little home-made yogurt.
Alcohol and air (no bandaid) if not too oozy. And/or commercial salve (Mountain Rose Herbs) based on either goldenseal & myrrh or comfrey & St. John's wort, depending on the severity, if I don't have any of my friend's excellent homemade salve. I've tried tea tree oil, but not sure how effective it actually was.
I also use comfry for wounds.
Not for paleo reasons but because triple antibiotic ointment makes ulcerates my skin, a bad reaction to one of the antibiotics.
I use vitamin e oil for scrapes, dry skin and the like.
Im going to try green wonder salve for my husband and 4 year old since they are more rough and tumble than me, but when i was younger, i used lavender oil for cuts and scrapes and it burned but it worked.