Yes, there are likely fanfictions with that concept. The Uchiha clan has a rich lore in the Naruto universe, and many fans like to explore ideas where Naruto has some connection to the Uchiha. It could be through various means like a hidden blood relation or some special power transfer.
One interesting aspect is the potential for new power combinations. Naruto already has his own unique abilities like the Nine - Tails' chakra. If he were part Uchiha, he could combine the power of the Sharingan or other Uchiha - related abilities with his existing powers. This could make for some really epic battle scenes in the fanfiction.
If Naruto was part of the Uchiha clan in fanfiction, it would be really interesting. The Uchiha are known for their powerful Sharingan and their complex family dynamics. Naruto being part of it would mean he'd be involved in all of that. He might have a natural rivalry with other strong Uchiha members. His training would focus more on Uchiha - specific jutsu. Also, his relationship with Kakashi could be different, as Kakashi has his own connection to the Uchiha. The story could explore how Naruto uses his Uzumaki traits in combination with Uchiha abilities to create unique fighting styles and solve the problems in the ninja world.
You can start by looking on fanfiction websites like FanFiction.net or Archive of Our Own (AO3). These platforms have a large collection of Naruto fanfictions, and you can specifically search for those related to the Uchiha part. Just use the search bar and type in relevant keywords like 'Naruto Uchiha' and you'll get a list of fanfictions to explore.
One interesting Naruto part Uchiha fanfiction could be one where an Uchiha character discovers a new jutsu that changes the course of the story in the Naruto world. For example, a fanfiction might explore what would happen if Sasuke found a jutsu that could bring back the Uchiha clan in a different way than just through vengeance.
It could be Sasuke's sister, if there was one in the fanfiction world. She might share some of Sasuke's traits but also have her own unique personality that attracts Naruto.
He would definitely have the Sharingan. With the Sharingan, he could copy jutsu more easily and have enhanced perception in battle. Also, he might inherit some of the Uchiha's fire - style jutsu, which would add to his combat abilities.
The Uchiha might initially be filled with anger. Their trust in Naruto, if it was there before, would be completely shattered. They could start to plot revenge against Naruto, believing that he has wronged them. This could lead to a lot of tense moments in the fanfiction as the Uchiha gather their strength and resources.
No. Naruto has his own unique story and character development that is distinct from simply being a fanfiction of Uchiha Madara. Naruto is about his journey to become Hokage, his relationships with his friends like Sasuke, Sakura, etc. His goal is to bring peace to the ninja world in his own way, through understanding and friendship. While Madara is an important part of the Naruto lore, Naruto's story is not centered around being a fanfiction of Madara. He is his own hero with his own dreams and challenges that are not directly related to being a fan of Madara.
One idea for a fanfiction is that the Uchiha girl has a special connection to a mythical creature in the Naruto universe. Naruto, intrigued by this, joins her on a journey to understand more about this connection. Along the way, they face many obstacles like other ninja clans who are jealous of their discovery. Through teamwork, they overcome these challenges and their relationship grows stronger.