Well, one possible plot could be that Naruto would learn a whole new set of jutsu from Jiraiya much faster. Jiraiya might focus on Naruto's chakra control and teach him some unique rasengan variations early on. Also, Naruto could start traveling with Jiraiya earlier, seeing more of the ninja world and learning about different cultures and fighting styles. This would make him a more well - rounded ninja quicker than in the original story.
Naruto would become more mature. Jiraiya's influence would make him think more about the long - term consequences of his actions. He'd also become more strategic in battles as Jiraiya is a master strategist.
In this fanfiction concept, it could lead to a really interesting dynamic. Jiraiya is a powerful and eccentric ninja. He could teach Naruto some really unique jutsu, like more advanced forms of Rasengan. And their relationship would be filled with Jiraiya's boisterous personality clashing and also complementing Naruto's determination.
Growth is a common theme. Naruto grows as a ninja under Jiraiya's tutelage. Another theme is the bond between them, like a father - son relationship. For example, Naruto might look up to Jiraiya for advice and support.
There could also be other characters from the Naruto universe that play important roles. For instance, Tsunade might be involved as she has a connection to Jiraiya. She could offer additional guidance or be a source of conflict when she disagrees with Jiraiya's training methods for Naruto.
Perhaps a plot where Naruto, as Jiraiya's apprentice, goes on a secret mission with him to spy on a hidden enemy organization. During this mission, he has to use his wits and the skills Jiraiya taught him to stay alive and gather information.
In this fanfiction, Jiraiya could be more open with Naruto about his past mistakes and love life. This would make Naruto see Jiraiya in a different light and might inspire him to be more cautious in his own relationships. Also, Naruto could be more protective of Jiraiya, knowing all that his master has been through. They would support each other not just in ninja battles but also in personal matters.
One great 'naruto is jiraiya's apprentice fanfiction' is 'The Apprentice's Journey'. In this story, Naruto really delves deep into the teachings of Jiraiya. It shows how Naruto grows not just in power but also in wisdom under Jiraiya's guidance. Another is 'Naruto: Jiraiya's True Apprentice'. It focuses on the unique bond between them and how Naruto overcomes various challenges with the skills he learned from Jiraiya.
One thing that could happen is that Naruto would learn a lot more about the toad sage mode earlier. Jiraiya could start training him right away. This would give Naruto an edge in battles. He would be able to use the toad - related jutsu more effectively and have a different combat style.
One plot idea could be Naruto learning some unique and forbidden jutsus from Jiraiya. For example, a jutsu that allows him to communicate with the spirits of the past Hokages for guidance. Another could be Naruto and Jiraiya going on a special mission to a hidden and dangerous land where Naruto has to use all his skills and new knowledge from Jiraiya to survive. Maybe they discover a new chakra source there.