Naruto's character could develop a sense of responsibility. With such a powerful ability from the Juubi Eye, he would understand that he has to use it for the good of the ninja world. He might start to take on more leadership roles and be more cautious in his actions, as his decisions could have far - reaching consequences.
His character might become more confident. Having the Juubi Eye gives him an edge that makes him believe more in his abilities.
His character would develop in a more complex way. He'd have to grapple with the new power and the responsibility that comes with it. He might become more isolated at first as others fear his power. But then he'd learn to use it for good and become more confident in his abilities.
Naruto's character might become more solitary. The training by Juubi could be intense and isolating, causing him to focus more on his own power and less on his friends. But at the same time, he might also develop a greater sense of responsibility towards the world as he realizes the power he now holds.
One possible scenario in this fanfiction could be that Naruto gains the Juubi Ten - Tails Eye and his power skyrockets. He might use this newfound power to protect the Hidden Leaf Village from even greater threats. Maybe he could even use it to bring about a new era of peace in the ninja world, as his already strong will and determination would be enhanced by the power of the eye.
The Juubi eye could potentially be a key factor in the time travel plot. It might possess powers that allow the user to manipulate time or access different timelines. For example, it could open portals to the past or future. This would create interesting scenarios where Naruto has to use the Juubi eye's power to correct past mistakes or prevent future disasters.
Mei might start as a relatively minor character in the fanfiction. But as she gets involved in Naruto's mission to seal the Juubi, her character could grow. She could become more confident in her abilities and start to take on more leadership roles. For example, she might lead a group of ninjas to protect Naruto while he is performing the sealing. This experience could make her more respected in her own village and also in the wider ninja world.
His character could become more confident. With the power of the Juubi, Naruto would know he has the ability to protect his village and those he loves. He might also become more solitary at times as he tries to understand and control the new power within him. He would have to grow in terms of his wisdom to use the power responsibly.
Naruto's character may become more complex. With the power of the Juubi, he has more responsibility. He might grow more serious as he realizes the magnitude of his new power.
Naruto would likely be one of the main characters. Since it's a Naruto - centered fanfiction, he'd be the one using the Juubi eye for time travel, probably to save the world or his friends. Sasuke could also be involved. Maybe he initially opposes Naruto's use of the Juubi eye for time travel but later realizes its importance. And there could be villains like Kaguya who might try to stop Naruto from using the Juubi eye's time - travel powers for their own evil purposes.
In fanfiction, if Naruto had the Juubi Eye, he would likely become extremely powerful. His already formidable combat abilities would be enhanced to a new level. He might gain new jutsu or have an even greater control over chakra. This could potentially change the entire Naruto universe's power balance, making him nearly unbeatable against his foes.
After absorbing the Juubi in fanfic, Naruto's character may become more confident. He has so much power now that he knows he can handle most situations. His sense of responsibility would also grow as he has to control such a huge power.