As Harry submits, Snape may initially be cold and distant, still holding onto his past grudges. However, as they interact more, Snape might start to open up a bit. Maybe he begins to share some of his own experiences at Hogwarts when he was a student, which helps Harry understand him better. Their relationship could slowly transform from one of animosity to a more complex, teacher - student or even mentor - mentee relationship.
At first, it could be very tense. Harry might be reluctant to submit, but as time goes on, he starts to see Snape in a different light. This could lead to a grudging respect. For example, Snape might show Harry some advanced potions techniques that no one else has taught him, which makes Harry realize Snape's value.
At first, it's likely to be very tense. Snape has always had a grudge against Harry because of his father. But as they live together, they start to see each other's true selves. Harry might see Snape's vulnerability and intelligence, while Snape might see Harry's courage and determination that are different from James's arrogance.
Often, it starts with intense dislike. Snape is constantly critical of Harry in class, deducting points for the slightest mistakes. Harry, in turn, sees Snape as a bully. As the story progresses, there might be small moments of grudging respect, like when Harry realizes Snape's intelligence in potions, but the overall hatred remains for a long time.
At first, the relationship might be filled with tension. Harry would be resentful of being in a slave - like position to Snape. But as time goes on, he realizes that Snape has a depth of knowledge and a hidden agenda that might not be as bad as he initially thought. Snape, on the other hand, might start to see Harry not just as a tool or a burden, but as someone with potential that he can shape in his own way.
In some fanfics, at first it gets worse. Harry might start to fear or hate Snape even more after being hurt. But as the story progresses, there could be a turning point. Maybe Harry discovers Snape's real motives behind the hurt, like if Snape was trying to protect him from a greater danger in a very roundabout way. This could lead to a begrudging respect or even an odd sort of friendship in the end.
At first, Harry might be very suspicious of Snape's kindness. After all, in the original story, they had a rather tense relationship. But as Snape continues to be kind, Harry starts to see him in a new light. He begins to trust Snape more and more.
In this fanfiction, their relationship could develop in a rather unexpected way. Maybe Snape initially approaches Harry for his own reasons, but as time goes on, a real bond forms. Harry, who has always been in need of someone to trust, finds in Snape a kind of stability. Snape, on the other hand, might change his attitude towards Harry completely. He might stop being so cold and distant and instead become a warm and reliable figure for Harry. This transformation in their relationship is likely to be a central part of the fanfiction's plot.
At first, it's likely to be tense. Harry has years of seeing Snape as a bully. But as they start living together, they begin to understand each other. Snape might show his more vulnerable side to Harry, like his memories of Harry's mother. Harry, in turn, starts to respect Snape's knowledge and sacrifice. Eventually, they develop a bond like a father - son relationship.
As the story progresses, they might start to work together more closely. Snape could be teaching Harry some advanced magic that no one else knows, and through this process, they build a bond. Harry begins to understand Snape's past better and realizes that they have more in common than he thought, like their love for Lily Potter in different ways.
In fanfiction, their relationship can develop in many ways. Sometimes it starts with Harry being suspicious of Snape as in the original books, but then Snape shows his selfless side. For example, he might save Harry from a dark spell and that starts to change Harry's view.
The relationship would be a rocky one. Snape has his past grudges against Harry's father. However, living together, they would be forced to interact daily. Harry might start to understand Snape's difficult past and Snape could see Harry's potential. There could be moments of anger, but also moments of mutual understanding, like when Harry helps Snape with some magical experiment.