The obvious version of that gag is that he talks about all this stuff that's different and then casually says "Hey, Norm." That would've been good. But they find a way to land it that instead treats Norm as literally part of the furniture.
And then there's the very final shot, in which the guy and Woody catch each other's eyes. Woody sort of smiles and nods and looks back away: yup, he seems to say: that's Norm. The guy, though: his jaw drops, and you get a momentary glimpse of his appalled realisation.
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"Cheers" got that far (and beyond) while still delivering perfect jokes. What a flawless show.