One idea could be that Naruto inherits Tsunade's incredible strength and medical ninjutsu skills. Maybe in the fanfiction, he uses these skills in a new and unique way during battles, combining his own Rasengan - like techniques with Tsunade - style brute force punches. He could also use the medical ninjutsu to heal his friends more effectively, even in the heat of battle.
One possible way the storyline could develop is that Naruto would inherit some of Madara's powerful chakra and Sharingan - like abilities. Since Tsunade is known for her medical ninjutsu and superhuman strength, Naruto might also have a natural affinity for healing. This could lead to a new type of combat style for Naruto, where he combines his inherited skills with his own Rasengan - based techniques. He could use his Sharingan - like power to predict his opponents' moves and then counter with his Rasengan, while also being able to heal himself or his comrades in the heat of battle.
He could go on adventures to find rare medical herbs for Tsunade's research. Since he's her grandson, he might be more involved in her medical - ninjutsu related projects.
Well, Tsunade being his grandma could give Naruto more direct access to her powerful medical ninjutsu knowledge. He might learn quicker and use it to his advantage in battles, like healing himself faster. This could also boost his confidence, knowing he has such a strong family connection.
The story could also change in terms of Naruto's power development. With Tsunade as his grandmother, he might have access to more advanced medical ninjutsu earlier. This could be crucial in some battles. For example, in the fight against Pain, he could have not only saved the village but also healed many more people quickly. And his understanding of chakra control, which is important for Tsunade's techniques, could make his regular jutsu more powerful too. He could learn to infuse his Rasengan with the same kind of chakra control that Tsunade uses for her super - strong punches.
His approach to problems would be different. Naruto usually rushes into things head - on. But as Tsunade's grandson, he could be more strategic. Tsunade is a smart leader and a skilled ninja. Naruto could learn from her how to analyze situations better. Also, his relationship with Sasuke would be affected. He might be more of a guiding figure to Sasuke, rather than just a rival, as he would have a stronger sense of responsibility from his family connection.
One possible plotline could be Naruto growing up with a different set of skills influenced by Tsunade. Since Tsunade is known for her medical ninjutsu and super strength, Naruto might have an earlier inclination towards medical skills. He could be trained in a more balanced way between combat and healing. For example, in battles, he not only uses his regular jutsu but also heals his comrades instantly on the spot. Another aspect could be the political influence. Tsunade being an important figure in the village, Naruto might have a different standing in the village hierarchy from the start and face different kinds of challenges related to leadership and decision - making.
Since Tsunade is known for her medical skills, Naruto could be trained in advanced medical ninjutsu much earlier. This would not only make him a more versatile shinobi but also give him an edge in battles as he could heal himself and his comrades quickly. Jiraiya, on the other hand, would introduce Naruto to more complex and dangerous combat scenarios. His training might involve long - distance missions and battles against powerful opponents to toughen him up. Also, the combination of Tsunade's strict discipline and Jiraiya's more laid - back but still effective teaching style would create a unique learning environment for Naruto.
Perhaps a plot twist would be that there is some sort of curse associated with Naruto's lineage as their grandson. This curse could be related to the same forces that Tsunade and Jiraiya fought against in their lives. Naruto has to struggle not only with his normal ninja duties but also with this hidden curse. It could manifest in strange ways, like affecting his chakra control or making him a target for certain enemies. On the other hand, it could also be a source of great strength if he can overcome it. And there could be a prophecy related to him being the grandson of Tsunade and Jiraiya that he has to fulfill, which adds another layer of complexity to the story.
The story dynamics would shift significantly. Naruto would be part of the Senju clan in a more direct way. This could mean he has a different standing in the village. Tsunade might pass on her unique skills and knowledge more readily. He could also have a different role in the political aspect of the village. Maybe he would be more involved in clan meetings and decisions. This new family connection could also influence how he is perceived by the other villages. They might be more cautious or more eager to form alliances with Konoha because of Naruto's relation to Tsunade.