I cut my finger really bad once at work once. I was locked in the building all alone, at night, and by the time I got to the hospital, they said too much time had elapsed to stitch it. If I had known that, I wouldn't have bothered going.
You have to immobilize that joint or it will take forever to heal. Captain Obvious right there.
This is great news actually because you always wanted to practice 2nd finger fulcrum on your left hand, right?
The biggest difference between stitches and superglue is that a Doctor will see it before it is stitched. Working at a hospital I can tell you superglue is still used a lot. Go see a Doctor. Stitches will save that flap.