Here’s what I did to my thumb whilst being careless with the chopping knife. It didn’t hit the bone, but just about. The nice nurse on the phone said I didn’t need stitches, but to just use “skin glue” and antibiotic ointment and wrap it well for three days. It feels much better now. Weirdest thing: it didn’t bleed very much, and it never really hurt unless I bashed it against something.