After telling a story of how R’ Meir interceded to help yesomim in his town, Gittn 52 recounts how R’ Meir was passing through another town where every erev shabbos two of the ba’alei batim got into a fight. R’ Meir spent three weeks there, and through his intercession the fights ended. The gemara concludes with the upset yetzer hara being left without a home.
Sometimes the details of a story can be so revealing. Unlike the first story in the gemara, this episode did not occur in R’ Meir’s hometown. He was just a visitor, maybe a “scholar in residence”, yet he felt obligated to intercede to make peace. Not only that, but these fights occurred on erev shabbos, when even talmidei chachamim are personally involved in preparing for shabbos (kiddushin 42) and time is short, yet R’ Meir made it his business to address the situation. This was also not a one time event, but it took three weeks of R' Meir's time to reslove the problem. Lastly, I think it’s not by accident that the gemara juxtaposes the story of the fight with the story of R’ Meir helping yesomim. It goes without saying that it would be unconscionable for R’ Meir to say, “Why do I need to get involved in the mishegas of these ba’alei batim? – I have important shaylos like whether a chicken is kosher or not to pasken,” and even more unconscionable for him to divest himself of the problem and go back to his learning. But lest one think that R’ Meir would avoid the issue because he was involved in other important communal needs like tending to yesomim, kah mashma lan that this is equally an important issue to tackle.