Sasuke could be the one to save Naruto. Despite their past differences, Sasuke still has a connection to Naruto. He might sense Naruto's danger and rush to his aid, using his Sharingan to find a way to safely get Naruto back up from the bottom of the cliff.
It could be Kakashi. Kakashi is always looking out for his students. He might use his ninja dogs to track Naruto's fall and then use his teleportation jutsu to reach Naruto just in time. He would then use his medical skills to treat any injuries Naruto might have sustained.
Sasuke could save him. Despite their differences, Sasuke might still have that underlying bond with Naruto and show up just in time to catch him or pull him to safety.
A hermit who lives in seclusion near the chasm might save him. This hermit could be an ex - ninja who has given up on the world but still has a kind heart. He would then take Naruto in and start training him in his own unorthodox ways, which could include using the natural elements of the chasm area in combat.
Sure. In some fanfiction, Naruto might jump off a cliff to follow someone he loves who has already fallen. It could be a very emotional moment where he doesn't even think about the consequences but just wants to be with that person. Or it could be part of a self - sacrifice. He jumps off the cliff to protect the village from a powerful threat that is following him and he figures that by sacrificing himself this way, he can save everyone else.
In a 'naruto off cliff fanfiction', Naruto might fall off the cliff and discover a hidden cave at the bottom filled with ancient ninja scrolls. These scrolls could contain powerful and long - lost jutsu that Naruto then learns to become even stronger.
Sasuke could make Naruto pissed off if he goes back to his old ways of seeking power and revenge. Naruto has worked hard to bring Sasuke back to the right path, and if Sasuke strays again, it would surely anger Naruto.
Maybe Kakashi. He's been Naruto's teacher and mentor. He has the skills and the loyalty to Naruto. He could use his Lightning Blade technique to quickly reach Naruto during the fall and carry him to safety.
In this case, Sakura could be seen as the antagonist, at least in that particular moment when Naruto tells her off. Since Naruto is the one doing the telling - off, it's because of something Sakura has done or said that has pushed him to that point.
In fanfiction, if Naruto jumps off a cliff, he might be saved by a hidden power. Maybe he discovers a new jutsu on the way down that allows him to fly or slow his fall. It could also be that a mysterious character appears out of nowhere and catches him.
In fanfiction, Naruto might discover a hidden power or ability when he falls off the cliff. It could be something related to the natural energy around the cliff area that he manages to tap into during the fall, and this new power could help him in his future battles.
He might target the elders first. They are often the ones who hold the traditional views and might be resistant to Naruto's new ideas. They could be the source of a lot of the problems Naruto is facing in the village.