So one day, bro and I went and got a live chicken from the Public Market. We wrung...and wrung...and wrung...but the cluck cluck cluck persisted. Then...with every ounce of strength he had, my brother wrong his neck real good...and no cluck was heard. We were so proud.
Years later I realized it took the same motion as tying a knot in a WECO 310 cloth covered telephone patch cord with one flick of the wrist.
It's very similar to cracking a bull whip over your head. The wrist snapping motion is what causes the end of the bull whip to go supersonic and make the cracking noise. The wrist snap will also cause a snake's head to pop off when you grab it by the tail and crack it over your head.
My Great Uncle George was a rancher in Oklahoma way back in the day. Uncle George was missing a hand and walked around with the stump at his wrist tucked into the bib of his overalls mindful of Napoleon. I remember him well. My Mother told the story of him looking in on the chickens, and finding a large chicken snake in the hen house.
He reached down with his one hand and grabbed the snake by the tail, walked out of the hen house and gave that snake a mighty crack. Suddenly, he felt something cold and wet go down into his boot. He thought it would be a chore to take his boot off with one hand way out in the field by the pasture, so he walked backed to the house. When he got his boot off, he found he had a hole in his pocket and his pocket knife was in his boot.