One scenario could be Snape using his wand to communicate with the dead. Maybe he discovers a spell that allows him to use his wand as a conduit to speak to Lily Potter. This would add a whole new layer to his character, as his love for Lily was a major driving force in his life.
Another interesting situation might be Snape's wand being stolen and him having to rely on his non - wand skills, which are also considerable. Then he has to go on a quest to retrieve his wand. Along the way, he discovers new things about himself and his magic. He could learn that his magic is not solely dependent on his wand but also on his inner strength and knowledge.
Perhaps in fanfiction, Snape uses his wand to transform Hogwarts in some way. He could use it to create a secret area within the castle, accessible only to those he deems worthy. This area could be filled with dangerous and rare magical artifacts that he has collected over the years. He would use his wand to protect this area with elaborate and powerful spells, making it a place full of mystery and danger for those who might stumble upon it.
In fanfiction, his wand could potentially be used to reveal secrets. Snape was full of secrets himself. Maybe his wand could be a key to unlocking hidden chambers or revealing long - lost knowledge. It could be used to decrypt old spells or manuscripts that were crucial to the wizarding world's history.
In some fanfictions, Snape's wand could be a key to a hidden realm. Harry Potter discovers this by accident and has to convince Snape to accompany him. Along the way, they face various challenges and learn more about each other. Snape's wand might also have a sentient aspect that communicates with Harry in some way, guiding them through the dangerous realm.
One interesting scenario could be when Harry uses a clever spell in a new and unexpected way during their exchanges, catching Snape off guard. For example, he might use a transfiguration spell to transform something in the classroom into a distraction while he makes a quick escape from Snape's scolding.
One interesting scenario could be Harry using a charm to make Snape's potions ingredients misbehave during class. For example, the shrivelfigs start bouncing around the cauldron. Another could be Harry transfiguring Snape's cloak into a bright pink color while he's walking down the corridor. Or perhaps Harry using a spell to make Snape's voice change into a high - pitched squeak when he's trying to give a lecture.
One scenario could be that Snape holds Harry Potter captive to protect him from a greater threat that he's aware of but Harry isn't. Maybe he has learned of a new dark wizard's plot against Harry and by holding him, he can keep him in a magically protected area until the danger passes.
The origin of Snape's wand could be explored. It might have been crafted by a special wandmaker or passed down through generations in Snape's family. This could add depth to the story and Snape's character.
He might choose holly. In the original series, Harry's wand has a holly wood. Since he's making his own in this fanfiction, he could still be drawn to it for its traditional associations with protection and courage.
He might choose a phoenix feather because it represents rebirth and magic. And for the wood, perhaps he'd pick holly, which is often associated with protection in the wizarding world.
There could be all sorts of what ifs. Maybe what if Harry was the one bashing Snape or vice versa. It really depends on the creativity of the author.
One interesting scenario could be that during detention, Snape makes Harry clean all the potion bottles in the dungeon while lecturing him about the importance of precision in potions. Harry, in turn, discovers an old, forgotten potion recipe among the bottles and Snape is grudgingly impressed.