Seldom used nowadays and of obscure origin, it is generally defined as one with an overly exaggerated opinion of one's own importance and/or knowledge.
"Adolph Hitler, when you really think about it, was little more than the ultimate example of a barber's cat."
Made up shite insisted on by my father and uncle and made up by my grandad
“You’re farting like a barbers cat”
“Dad that doesnt make any sense you just made it up”
meaning., gorged , stuffed or full of food
I'm blown out like a barbers cat ...
Breaking wind repeatedly and noisily.
Father's triple portion of baked beans washed down with half a crate of Mexican beer resulted in a terrific 'trumpet involuntary', and Mother complained that he was farting like the Barber's Cat.