Since no one else has come up with a useful and complete explanation.
This is my guess.
The cigar appears to be what one might call a pigtail or turban head.
After being punched.....split.
Pig Tail figured since he was being hit on, might as well become a Split Tail.
Blame all of this "transgender ~ Gender reassessment" for this.
The once B. now K. Jenner may be to blame.