I suspect the shot of the one drunk alien being dragged away by his friend might be an outtake from the SW 1977 cantina footage. It strikes me as just the sort of amusing slice-of-life/documentary moment that GL would like.
(Plus the crew also improvised other sight gags during filming, like a gunfight between two guys of extremely different height in a Mos Eisley back alley.)
Are you referring to this shot?
Like Tyrphanax said, there’s no fighting, the little guy just runs through his legs. But, I don’t doubt that they shot other “sigh gags” like this. I’m guessing this one survived because it was used in the Holiday Special.
(It’s a weird shot, because the small guy seems to have an empty holster, and he’s clearly running away from something, and the tall alien follows him off screen. Just another day in Mos Eisley I guess?)