Been there, done that, with some real consequences.
Ripping strips of cedar, 3/8's wide by 6' long for screen doors I was building. Got into a rhythm, as I had about 20 to do, got halfway through, and just as I was reaching for the push stick to finish the cut with my other hand, I involuntarily kept pushing my work into the blade. BANG!! I felt like someone had hit my right shoulder with a baseball bat. Huge stripe of blood flies up, across my shirt, along the ceiling above the table saw: I had run my right thumb into the blade. Sliced a kerf down the middle of my thumb, and opened up the end of my thumb spectacularly. I took one quick look at it then grabbed a rag I had been using to wipe off excess glue from glue-ups, wrapped the end of my thumb closed, then grabbed the rest of the cloth in my hand, closed my fingers to hold it shut. Put my hand on top of my head, to keep it elevated, then got in my truck and drove straight to the hospital.
Came home 4 hours later with 32 stitches holding together a large V-shaped cut segmenting my thumb pad. (fingerprint would never look the same again...)
Lots of pain killers and a few weeks later, it had healed up pretty well.
That portion of my thumb lost all feeling, a triangle shape about 1/2" by 3/4". Made it awkward to hold anything that I had to pinch, but didn't have any real issues until the following winter.
Then a very Nasty Surprise. Any time it got below freezing, I would get shooting pains, like the Screaming Barfies, as if someone was twisting a knife into the end of my thumb. Skiing, Mountain Biking, Climbing, whatever, became awful. I could never let it get cold.
That lasted about 5 years, getting gradually less sensitive to the cold. Now it's ok, I can Ice Climb, bike, whatever, it feels like the rest of my fingers. But man, that really sucked for a while.
I hope you heal up well!