Well, it would be really strange. Naruto is known for his positive and heroic nature in the original series. If he becomes a Jigsaw fan, he might start to have some really dark and twisted thoughts. He could be influenced by Jigsaw's extreme ideas of justice through punishment. Maybe he would try to implement some of those ideas in Konoha, which would surely cause chaos and conflict among the villagers as they are used to Naruto's normal, more forgiving approach to dealing with problems.
If Naruto becomes a Jigsaw fan in fanfiction, his relationships would change drastically. His friends and comrades in Konoha would be confused and concerned. They have always known Naruto as a kind - hearted and positive person. His newfound interest in Jigsaw's ways would seem out of character. For instance, his bond with Hinata would be severely tested. Hinata, who loves Naruto for his heroic and gentle nature, would be at a loss on how to deal with this new, darker Naruto. His relationships with the other ninja clans in the village would also become tense as they would view his new ideology as a threat to the village's peace and stability.
It could be a really dark and intense story. Naruto characters would be thrown into the nightmarish scenarios that Jigsaw is known for. Maybe Naruto would have to use his shadow clone jutsu to find a way out of a booby - trapped room. The jigsaw - like puzzles and challenges would test the characters' physical and mental limits, just like in the Saw movies.
There might be a Jigsaw Naruto fanfiction where Jigsaw somehow transports Naruto into an alternate dimension filled with his own worst nightmares. In this story, Naruto has to use his wits and his chakra to break free from the traps and illusions set by Jigsaw. It could be a really thrilling read as Naruto battles not only the physical challenges but also the psychological ones.
In most Jigsaw Naruto fanfiction, Naruto is the main focus as he is the hero we all know from the original series. Jigsaw is the antagonist, creating all sorts of twisted situations for Naruto to deal with. Sometimes, Kakashi might also be involved. He could be either helping Naruto figure out Jigsaw's plans or be another victim of Jigsaw's traps. Also, characters like Hinata might be included, perhaps being held hostage by Jigsaw to make Naruto face difficult choices.
One interesting Naruto jigsaw fanfiction could be about Naruto finding a magical jigsaw puzzle that when completed, reveals a hidden power or a secret about his family. Maybe it's a puzzle left by his father that has been scattered across the ninja world.
Jigsaw fanfiction is a type of fan - created writing that is based on the Jigsaw character or the Saw franchise. It often involves creating new stories, scenarios, or character arcs within the existing Saw universe. Writers might explore different motives for Jigsaw's actions, create new victims or survivors, or even give a backstory to some of the elements in the movies.
You should also plan the plot around the jigsaw. Maybe the pieces of the jigsaw are being collected by different ninja clans, and Naruto has to convince them to give up the pieces so he can complete it. Develop the characters' motivations for being involved with the jigsaw. For Naruto, it could be his curiosity and his desire to protect the village. Sketch out a rough outline of how the story will progress from the discovery of the first jigsaw piece to the final completion.
Perhaps in this fanfic, Jigsaw sees Naruto as an interesting subject. Naruto, being used to fighting powerful enemies in his own world, now has to face the psychological and physical challenges set by Jigsaw. The plot could revolve around Naruto trying to escape the traps while also trying to find a way to free the other victims. And along the way, he might use his own sense of justice and friendship to change the way Jigsaw views things.
One possibility could be that Naruto is drawn to boxing because of its physicality and the determination it requires. He might see it as a new way to test his strength and endurance outside of ninja battles. Maybe he starts training with a local boxing coach who sees his potential and helps him develop his skills.