The new summoning contract could also have an impact on Naruto's relationship with the village elders. They might be suspicious of this new power source and keep a closer eye on Naruto. However, Naruto's friends like Shikamaru would likely be more laid - back about it. Shikamaru would probably offer his strategic mind to help Naruto figure out the best ways to use the summoned creatures. And Naruto's bond with Hinata could become stronger as she stands by his side during his journey to master the new summoning contract.
If the summoning contract has a connection to a particular family in the village, it could improve Naruto's standing with that family. He might be invited to their family events and be seen as an honorary member. However, if the contract is related to a dark or secretive part of the village's past, some villagers might be afraid of Naruto and try to distance themselves from him.
His relationship with the villagers would be a mixed bag. Some of the younger villagers who look up to Naruto as a hero would be in awe of his new ability. They'd see it as just another amazing thing he can do. But the older villagers, especially those who remember the destruction caused by the Nine - Tails in the past, might be afraid. They might start to distance themselves from Naruto again, fearing that he could lose control of the fox he can now summon. But Naruto, being Naruto, would probably try his best to show them that he can handle it and use it for good.
With his friends like Sakura and Kakashi, they might be initially confused but then supportive. Sakura could be worried that Naruto is getting involved in something dangerous related to the moon, but also trust that he knows what he's doing. Kakashi, on the other hand, would likely be more intrigued and offer his wisdom and guidance as Naruto explores this new aspect of his life.
As for his relationship with Kakashi, Kakashi would likely see the potential in Naruto's ink bloodline limit and start to train him in new ways. He could help Naruto develop his ink - based jutsu and incorporate it into his overall fighting style. This would strengthen their teacher - student relationship as they explore this new aspect of Naruto's power.
It would change his relationships a lot. His friends like Sakura and Sasuke would be both intrigued and maybe a bit worried. Sasuke, who has his own Sharingan, might see Naruto as more of a rival now. Sakura would be concerned about the risks of the implantation. And his relationship with Kakashi would also shift. Kakashi could help Naruto better understand and control the Sharingan, creating a stronger bond between them as teacher and student.
His relationship with his teachers could change too. Kakashi might have to develop new training methods for Naruto to master this kekkei genkai. Iruka would be very supportive as always, but also a bit worried that Naruto might attract more dangerous enemies with this new power. And with the other ninja villages, they might view Naruto with more caution or respect depending on how powerful his kekkei genkai is.
His relationship with Sasuke might change. Sasuke could see Naruto's new power as a challenge or something to envy. It might also make Sakura more attracted to Naruto because of his increased strength.
His relationship with his sensei, like Kakashi, could become more complex. Kakashi would feel guilty for not being able to protect Naruto from the experiments. And Naruto might start to question Kakashi's ability to keep him safe. This could lead to a strain in their relationship at first, but later they could grow closer as Kakashi helps Naruto recover from the trauma of the experiments.
His relationship with Sasuke would be greatly affected. If Naruto could control time, he might be able to show Sasuke what the future could be like if they worked together instead of being enemies. This could potentially heal their fractured relationship much faster. With space - control powers, Naruto could quickly reach Sasuke whenever he was in trouble, strengthening their bond of friendship.
It could change his relationship with his enemies too. Enemies might be more hesitant to attack him, not knowing what the mouths on his hands can do. Some might be so freaked out that they avoid him altogether. His relationships with his sensei, like Jiraiya, would be interesting. Jiraiya would likely be excited to study this new phenomenon and help Naruto figure out how to use it to his advantage. And Naruto's new 'hand - mouths' could also bring him closer to some characters who are interested in the strange and unusual in the ninja world.