Well, Naruto learning Uzumaki clan jutsu in the fanfiction could lead to some interesting character developments. He might discover more about his heritage and how the Uzumaki clan's jutsu are related to his own abilities. This could also change his relationships with other characters, like how they view him now that he has these new skills.
Naruto could learn about the Uzumaki clan's sealing techniques. They were masters of sealing jutsu. In the fanfiction, he might find out how they developed these complex and powerful sealing techniques, which were passed down through generations. It could be that he discovers some unique seals that were only known to the Uzumaki clan and how they were used for various purposes, like containing powerful entities or storing chakra.
He might learn a time - traveling jutsu. This would be really cool as it could allow him to go back and change certain events in the Naruto world, or gain knowledge from the past to use in the present battles.
In the fanfiction, Naruto's training for Uzumaki clan jutsu would probably start with learning about the clan's history and the principles behind their jutsu. He would then practice basic forms of the jutsu, gradually building up his skills. He might have a mentor, perhaps someone from the Uzumaki clan or someone who has knowledge of their jutsu. The training could also involve facing off against opponents who are skilled in countering Uzumaki jutsu to test his progress.
He may feel more proud. Knowing about his clan's great history and abilities, like their sealing techniques and strong life force, could make him see himself as part of a powerful legacy. So he might hold his head a bit higher and have more confidence in his own abilities.
In fanfiction, Naruto learning the Vacuum Jutsu could be really cool. It might give him a new and powerful offensive technique. Maybe he'd learn it from an unexpected source, like an old hermit in a forgotten land. This could potentially change the power dynamics in battles he's in.
He could potentially learn the Flying Thunder God Technique. It's a very powerful jutsu that Minato was famous for. Naruto's already fast with his Sage Mode and Nine - Tails Chakra, and this would make him even more formidable in battle.
Well, he could start a family with Hinata and have lots of kids, passing on his Uzumaki bloodline. Then, he could encourage his friends who have some Uzumaki connection, like Karin, to also have families and pass on their Uzumaki genes. He could also set up a school or training center in the Uzumaki land, teaching the Uzumaki ways of life and ninjutsu, which would attract orphans or those who want to be part of the Uzumaki clan.