Was on a two boat trip some 20 years ago. We had both just launched and were rigging up when my friend in the other boat said he was in need of some assistance. He quietly said he had a problem with a hook. He was fishing with his 9 year old son. I waded over with a pair of needle nose pliers and a set of side cutters. Upon my arrival into his boat, I observed that he had a lure hanging from his nose. In tying on a plug, he had held the tag end of the line with his teeth. It had slipped out when when he cinched the knot and he had a 3/0 stainless Mustad siwash hook embedded in his nose. The hook had entered through his nostril and the very tip of the point had broken through the skin at the tip of his nose. These hooks (a personal go to hook of my own) have a long point with a significant barb set back ~1/4-3/8 inch from the point.
I found the situation rather unsettling, but soldiered on.
My first thought was to ease the hook forward and cut it off behind the barb and then back it out. However, the nose is tougher than it seems and moderate force was not going to advance it. So I cut off the the eye and a portion of the shank, grabbed the point of the hook and went with the "clean and jerk" approach to pulling the hook swiftly through the tip of his nose.
He never made a single sound - gotta say I was impressed. His son never was really aware of the exact nature of the situation until it was done.
Bled like a stuck pig for 3-4 min. We went fishing. He never sought treatment. Healed fine in a week or two.
He did acquire the nick name "Hooknose".
I do not think the method in the video would have been of use in this case because of the geometry of having the bend of the hook inside his nostril.
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If you lie to the fish checker, don't gripe about fisheries management - turns out, you are part of the problem.