Hard to say. It could be associated with a minor character whose background wasn't fully explored. Or perhaps it was just a random prop without a specific owner.
In such a fanfiction, Naruto might teach Tsume new ninjutsu skills. For example, he could share his unique Rasengan technique, explaining the chakra control required step by step.
The social status in the village could also be a problem. Naruto is a hero to the village, but he also has his share of enemies. Tsume, on the other hand, has her own standing in the village. Their relationship could make them targets for those who oppose Naruto or who don't like the idea of an Inuzuka getting involved with an Uzumaki. Also, they would need to balance their duties as shinobi with their relationship, which can be really tough.
I'm not sure if there's a character named Chopper in 'Pulp Fiction'. I might be misinterpreting your question, but I don't recall such a character in the movie.
I'm not sure specifically as there could be many 'Chopper Christmas Stories'. It might be about a character named Chopper during Christmas. Maybe Chopper has some adventures or experiences related to Christmas, like celebrating with friends, going on a Christmas quest, or learning the true meaning of Christmas.
It's likely a mentorship relationship. Naruto, as Tsume's master, would be in a position of authority and guidance. He'd be responsible for Tsume's growth as a ninja.
A good 'chopper lemon fanfic' would likely have an engaging plot. For example, if Chopper is a character in a fictional world, the story could revolve around his adventures related to lemons. Maybe he's on a quest to find the rarest lemon for a special potion.