The gist of the story is that it's presented from the perspective of a third party onlooker. Said person recounts:
I would see these boys and they seemed to be such great friends-- hanging out and helping one another, but then all of a sudden they would take out these huge books [gemaras] and would start shouting at each other “What are you talking about! That's not what that means! How does that make sense!” and this would go on for a little until they put the books away.
Then they would laugh with one another and resume being great friends.
Not 100% sure, but I think the context of this sweet story was to highlight the unique aspect of learning Torah with a chavrusa.
Has anyone else heard this story that R' Schachter referenced and where it might be found?