Yes, in many Naruto fanfictions, Orochimaru does escape various situations. Fanfic authors often play around with the idea of Orochimaru's cunning nature allowing him to slip away from his pursuers, whether it's from Konoha ninjas or other threats. This can add an interesting twist to the story as his escape can lead to new plot developments.
Well, it depends on the specific Naruto fanfiction. Some fanfictions might focus on Orochimaru's redemption arc where he doesn't need to escape as much. However, in a large number of more action - oriented or villain - centric fanfictions, he is likely to escape. His character is known for his ability to survive and slither out of difficult situations, so it's a common plot device in fan-created stories.
She could use her shadow clones. Female Naruto might create a bunch of clones to distract Orochimaru and his minions while she makes her escape. Since she is known for her large chakra reserves, she can afford to create many clones at once.
Well, Naruto might escape by using his wits. He could pretend to be compliant with Orochimaru's plans at first, gain Orochimaru's trust a little bit, and then when Orochimaru least expects it, he could make his move. He could also find an ally within Orochimaru's lair. Maybe there's a henchman who has a change of heart and helps Naruto escape. Or, Naruto could discover a weakness in Orochimaru's security system or jutsu that he can exploit to get away.
Well, in some versions, Naruto might use his new and improved Rasengan techniques. He could have combined it with his Sage Mode powers to overpower Orochimaru. Maybe he also uses his quick thinking and the element of surprise, since Orochimaru is always so full of his own schemes.
In some fanfictions, Orochimaru might develop a sense of loyalty towards Naruto. After being around Naruto for a while, he could see Naruto as someone worthy of his loyalty. This could lead to him being more open to working with the Hidden Leaf and helping Naruto in his various missions. He might even sacrifice his own interests to protect Naruto at times, which is a complete turnaround from his initial character.
Well, in some fanfictions, Orochimaru might use some forbidden jutsu. He could have combined his knowledge of resurrection techniques with some unique chakra sources. Maybe he found a way to reverse the death process by using the power of the snakes he has a connection with. For example, he could have used the regenerative abilities of the snakes' chakra to bring Naruto back to life.
Naruto could develop a new sense of determination. He might be determined to not let Orochimaru's experiments define him. Instead, he could use what has happened as a motivation to become stronger in his own way. He may also start to study more about the type of experiments Orochimaru was doing, not to replicate them, but to find ways to counter any future threats related to that kind of science.
In some fanfics, Naruto might use his new and powerful jutsu that he has mastered over time. Maybe he combines his Sage Mode with the power of the Nine - Tails in a unique way that Orochimaru can't counter. For example, he could use the Nine - Tails' chakra to enhance the range and power of his Sage Mode attacks, and then catch Orochimaru off - guard.
It could develop in a very complex way. Maybe at first, it's full of hostility as Orochimaru has his own dark motives. But as the story progresses, Naruto's positive influence might start to change Orochimaru's perspective a bit.
He survives through his strong will. Naruto has an unwavering determination that refuses to be broken by Orochimaru's experiments. His inner strength and the chakra of the Nine - Tails within him might also play a role in withstanding the physical and mental torture of the experiments.
Perhaps in this fanfiction, Naruto has some sort of special power or transformation that he unlocks just in time to face Orochimaru. It could be related to his Nine - Tails chakra in a new and unique way. He uses this power to break through Orochimaru's defenses and save Hiruzen. Naruto might also use his knowledge of Orochimaru's weaknesses that he has learned either from Jiraiya or from his own past encounters with Orochimaru's minions.