Perhaps Naruto raises his hand to answer a really tough question in the written part of the Chunin Exam. He could use some of his unique experiences or the wisdom he's gained from his friends to come up with an unexpected but brilliant answer. This would surprise the examiners and his fellow candidates, and might earn him some respect from those who used to look down on him.
Maybe he saw an opportunity to help his friends. If there was a task or a challenge in the Chunin Exam that required someone to step forward, Naruto, being the selfless person he is, raised his hand to protect or assist his comrades. For example, if there was a dangerous opponent that his friends were having trouble with, he would volunteer without hesitation.
Well, one possible plot development could be Naruto training even harder to prove himself. After the Chunin Exams, he might seek out new jutsu or ways to improve his skills. Maybe he starts to focus on his control over the Nine - Tails' chakra more intensively.
He might face disappointment from his friends and mentors. His friends who were also participating in the exam might feel let down, and his mentors, like Kakashi, could be concerned about his decision and how it will affect his future as a ninja.
One possible plot twist could be that an unexpected opponent shows up during the exam. Maybe a rogue ninja infiltrates the exam area and targets the genin. This would disrupt the normal flow of the exam and force the characters to deal with a new threat while also trying to compete in the exam.
One possible reason could be that Naruto faced an extremely tough opponent in the exam. Maybe the opponent had some special jutsu or skills that Naruto couldn't counter at that time. Another reason might be that Naruto made a critical mistake during the exam, like being overconfident and underestimating his enemy.
For Sakura, she might become more confident in her combat abilities. Working with Gaara, who has such strong and intimidating power, could push her to step up her game. She could also develop more empathy as she gets to know Gaara's troubled past. For Gaara, he could start to open up more to others. Sakura's kindness and determination might make him realize that not everyone is out to harm him.
Maybe he realizes the exam is too dangerous or he discovers some unfairness in it. In the original Naruto story, Naruto has faced many difficulties and moral dilemmas during the Chunin Exam. So in the fanfiction, similar situations might push him to quit.
Perhaps he showed an enhanced sensory ability. In the Chunin Exam, being able to sense opponents better can be a great advantage. Naruto might have raised his hand to volunteer for a task that required this ability, and it was a sign that he had improved his sensing skills to a new level. He could detect even the faintest chakra signatures and movements of his opponents, which would have surprised everyone.
The plot could involve a mysterious figure who uses a singing jutsu during the Chunin Exam. This jutsu affects the minds of the participants, causing them to act out of character. Naruto, with his strong will, is able to resist it to some extent. He then teams up with some of the other genin to figure out who is behind the jutsu and stop it. Along the way, they all have to sing in order to counter the effects of the jutsu, leading to some comical and heartwarming moments.
Naruto would likely become more self - reliant. As a ronin, he doesn't have the support of a village. So during the Chunin Exam, he has to trust his own instincts and skills more. He may also become more cautious as he realizes he can't always count on backup.