Often, it creates a situation where they have to rely on each other. For example, in some fanfics, the accident might give them shared magical symptoms that only they can understand and solve together.
Some fanfictions use the potions accident to introduce a magical mystery. The accident might be part of a bigger plot where the potion they were making was tampered with or was part of an ancient spell gone wrong. This then leads them on a journey to figure out what really happened, all while dealing with the effects of the accident on themselves, like strange magical abilities or a connection that they can't explain.
One popular one might be 'The Unforeseen Consequences' where the potions accident leads to them having to work together closely to reverse the effects. It has a great plot that delves into their characters.
Hermione may also start to scheme. She'll use her intelligence to come up with a plan. For instance, she might start to collect evidence against Snape, something that she could use to counter his blackmail. She'll research old school rules or find out secrets about Snape that she can hold over his head instead.
Often it starts with Hermione showing an unexpected interest in Snape's area of expertise. For instance, she might ask him for extra help in potions with a bit of a twinkle in her eye and a flirty tone in her voice.
Often, Snape's punishments are related to Draco's misbehavior in class or within the Slytherin house. For example, if Draco is caught bullying other students, Snape might make him do extra assignments related to dark arts defenses. This is because Snape wants Draco to understand the importance of self - control and not using his pure - blood status to intimidate others.
I really like 'The Unforeseen Consequences of Snape's Potions Mishap'. In this fanfiction, Snape's accident in the potions lab creates a magical cloud that spreads throughout Hogwarts. It starts to make everyone act out of character. For example, the Gryffindors become overly studious and the Slytherins start being overly friendly. It's a really fun take on how a potions accident can have widespread and unexpected effects on the Hogwarts community.
Hermione might initially be very suspicious. Given her intelligence and wariness, she would not easily fall for the temptation. She would likely question Snape's motives and try to analyze the situation from all angles.
Well, it often starts with a lot of misunderstandings. Snape has his own preconceived notions about Hermione as a Gryffindor student, and Hermione has her own view of Snape as a strict and often unfair teacher. However, as they live together, small moments start to change their relationship. For example, when Hermione is having trouble with a particularly difficult spell, Snape doesn't scold her but instead patiently guides her. This gradually builds trust between them, and they form a unique bond that is different from the typical student - teacher relationship or even a normal father - daughter relationship.
In some fanfictions, the life debt claim can lead to a power imbalance in their relationship at first. However, as the story progresses, they work together to overcome this. It might also lead to unique magical bonds or abilities being formed between them. For instance, they could share a special form of magic that only those with a life debt connection can access. This then leads to new adventures and challenges as they explore these new powers.
One possible scenario in such a fanfiction could be that during a potions class, Harry and Draco are forced to be partners. They are making a complex potion, and due to their mutual dislike and lack of proper communication, they mess up the ingredients. The potion explodes, covering them both in a strange goo. This accident could be the start of them seeing each other in a different light, perhaps realizing that they are not so different when it comes to making mistakes.
Often, it starts with the slapping incident which creates immediate conflict. Then, Hermione might be outraged and seek justice or revenge, which drives the plot forward. For example, she could go to Dumbledore about it.