Sylvester catches Tweety and is about to eat him when Clarence advises against it. He claims it will lead to addiction and hands Sylvester a business card for Birds Anonymous. Sylvester goes to a meeting and hears the testimony of several cats and decides to kick the habit. Back home, he turns on the television, but a cooking program featuring a roast bird tempts him. He turns on the radio to distract himself, but it plays "Bye Bye Blackbird" and "When the Red Red Robin Comes Bob-bob-bobbin' Along". He handcuffs himself to the radiator so he can't reach Tweety, but desire overcomes him and he pulls it right off the floor. He grabs the bird but just as he is about to pop it in his mouth, Clarence shoots a plunger in Sylvester's face to stop him.
That night, Sylvester can't sleep because he is in withdrawals. "Just one," he rants, "I'll quit after just one more." He grabs Tweety and Clarence stops him again by pouring alum in his mouth, which makes him pucker so much that he physically cannot fit Tweety inside. Sylvester starts to cry about his situation, so Clarence demonstrates how to love birds without eating them. He plants a kiss on Tweety's head, but the taste of the bird overcomes him and he starts chasing Tweety himself.
Clarance tries to catch Tweety, but Sylvester tries to stop him from doing so. Tweety, watching from up the cupboard replies: "Wike I said befowah: Once a bad ol' puddy tat, always a bad ol' puddy tat!"
This cartoon won the 1957 Academy Award for best animated short subject. Before producer Eddie Selzer died, he gave the Oscar to Mel Blanc. It is unknown who holds the Oscar now, for it has completely vanished without a trace.