Well not that its practical in any way as you cant really recreate the process, but for interest sake I will post it anyway.
I got a smallish triangle shaped scar on the bridge of the nose as a kid courtesy of running down a hill and then encountering a brick wall all of a sudden LOL
It has been there for about 30 years.
About a year ago I was helping to demolish a temporary wall in my sisters garage, I hit a small joining piece of wood with a hammer to dislodge it, unfortunately this caused it to ricochet back at me and net effect I got smashed over the bridge of the nose with the wood.
It cut open the skin and actually went over my old scar, I left a waterproof sticking plaster (we call it a bandaid in Australia) over it for about a week, it went all mushy and moist.
When I took it off after about a week, to my amazement the cut had healed and actually reduced the size of my old scar, it essentially grew new skin over it.
So now my scar is smaller and a different shape, pretty amazing. So whatever this moist liquid was that my body produced has pretty great healing properties.
So based on that experience, I would put a waterproof dressing over the wound and keep it nice and moist as the body heals really well on its own if it doesn't get dried out.