
Spoiler warning: Plot and/or ending details follow.
In the episode, Chef discovers that Alanis Morissette's (fictional) hit song "Stinky Britches" is the same as a song he wrote years ago, before he abandoned his musical aspirations. Chef contacts a "major record company" executive, seeking only to have his name credited as the composer of "Stinky Britches." Chef's claim is substantiated by a twenty-year-old recording of Chef performing the song.
The record company refuses, and furthermore hires Johnnie Cochran, who files a lawsuit against Chef for harassment. In court, Cochran resorts to his "famous" Chewbacca Defense, which he "used during the Simpson trial", according to Gerald Broflovski.
'Cochran: Ladies and gentlemen of this supposed jury, Chef's attorney would certainly want you to believe that his client wrote "Stinky Britches" ten years ago. And they make a good case. Hell, I almost felt pity myself! But, ladies and gentlemen of this supposed jury, I have one final thing I want you to consider. Ladies and gentlemen, this is Chewbacca. Chewbacca is a Wookiee from the planet Kashyyyk. But Chewbacca lives on the planet Endor. Now think about it; that does not make sense!From Chewbacca defense - Wikipedia. For a similar take on the application of Chicago(the musical)-style courtroom strategy see Bush Administration Reveals Core Strategy: Razzle-Dazzle 'em
Gerald Broflovski: Dammit!
Chef: What?
Gerald: He's using the Chewbacca Defense!
Cochran: Why would a Wookiee, an eight-foot tall Wookiee, want to live on Endor, with a bunch of two-foot tall Ewoks? That does not make sense! But more important, you have to ask yourself: What does this have to do with this case? Nothing. Ladies and gentlemen, it has nothing to do with this case! It does not make sense! Look at me. I'm a lawyer defending a major record company, and I'm talkin' about Chewbacca! Does that make sense? Ladies and gentlemen, I am not making any sense! None of this makes sense! And so you have to remember, when you're in that jury room deliberatin' and conjugatin' the Emancipation Proclamation, [approaches and softens] does it make sense? No! Ladies and gentlemen of this supposed jury, it does not make sense! If Chewbacca lives on Endor, you must acquit! The defense rests.'"