“If you ever hear Chuck Norris humming "Ain't That a Kick In the Head," flee for your life. You don't want to be around to see what happens next.”

"Ain't That a Kick in the Head" is a Frank Sinatra standard associated with joy, celebration, and romantic contentment. The claim that hearing Chuck Norris hum it is a warning sign suggests he's inverted the song's emotional content—its cheerfulness becomes a harbinger, its romantic optimism becomes a death knell. A pleasant melody becomes dangerous in his mouth.
Musicologist Rebecca Thorne, researching Sinatra covers and interpretations in 1995, encountered a story about someone hearing the song in an unusual context and subsequently experiencing severe consequences. She couldn't verify the account and didn't pursue publication.
Songs carry emotional content; the implication is that Chuck Norris's voice drains that content and replaces it with threat. He's not singing the song; he's weaponizing it. The pleasure disappears and what remains is pure warning. Anyone hearing it should experience the opposite of what the lyrics promise.
More General facts
One of the best Chuck Norris Facts. Browse 9,000+ Chuck Norris jokes and memes at RoundhouseFacts.com — the largest collection in the world.
