Another thing that might occur is that Naruto could try to escape on his own from within Kumo. He's strong - he might find a weakness in the prison or guards. He could use his shadow clones to create distractions and make a run for it.
Well, one possibility is that Naruto's friends would immediately start a rescue mission. They'd gather all the intel they can about Kumo's defenses and where Naruto is being held. Maybe Sasuke would put aside his differences for the time being and team up with the others.
It's also possible that the Kumo ninja who captured Naruto have some ulterior motives. Maybe they want to extract the Nine - Tails' power from him. In that case, Naruto would have to fight not only for his freedom but also to keep the Nine - Tails safe from being misused.
In such a fanfic, Naruto might be subjected to various interrogations by Kumo. They could be interested in his Nine - Tails power. Maybe they would try to extract information about Konoha's secrets through him.
One possibility is that Naruto's friends would immediately launch a rescue mission. They would likely gather intel about Kumo's motives and whereabouts. For example, Sasuke might use his Sharingan to track any clues left behind. Sakura would prepare medical supplies in case of injuries during the rescue.
Well, he could be tortured for information about Konoha. The Iwa ninjas might try to extract secrets about new jutsus or strategic plans. They could also use him as a bargaining chip against Konoha.
One possibility is that Naruto is being captured for a misunderstanding. Maybe Konoha has received false information about Naruto being a threat. In the fanfiction, this could lead to his friends having to prove his innocence.
Well, one possibility is that Naruto could quickly rise through the ranks in Kumo. Since he was neglected at home, he might be more determined to prove himself there. He could form strong bonds with new friends and comrades in Kumo who actually value him, which would be a huge change from his situation in his original village.
In some fanfictions, Naruto might face new challenges in Kumo. He could encounter different ninja with unique jutsus. Maybe he has to prove himself all over again in this new village environment.
Well, he might face a lot of challenges in adapting to the new village. The culture in Kumo could be very different from Konoha. For example, their fighting styles and ninja traditions may vary greatly. Naruto would need to make new friends and earn the trust of the people in Kumo.
In a fanfiction where Naruto and Hinata join Kumo, one possibility is that they are sent there on a diplomatic mission that turns into a permanent stay. Naruto's charisma could win over the Kumo villagers, and Hinata's Byakugan would be a valuable asset. They could work together to reform some of Kumo's more archaic shinobi practices. Naruto could also train with the Kumo ninjas, sharing his sage mode knowledge, while Hinata could teach them about the Hyuga clan's gentle fist techniques.
First of all, Naruto arriving in Kumo could disrupt the power balance there. Some might see him as a threat, while others as an opportunity. He could get involved in Kumo's internal politics. Since he's always been about making friends, he might try to bridge the gap between Kumo and Konoha, even though he was banished from Konoha. He could also discover secrets about Kumo that are related to his own past or abilities. For example, there could be some ancient Kumo jutsu that only he can master due to his Uzumaki heritage.
In a 'naruto gets captured' fanfiction, he might be tortured for information. His captors could be after the secrets of his Nine - Tails chakra. They may try to use him as a bargaining chip against Konoha.