Dobby's character could be developed further by showing his growth in confidence. After being freed, he could become more assertive in his actions and decisions, not just relying on his loyalty to Harry but also on his own sense of right and wrong.
One interesting plotline could be Dobby using his unique magic abilities to help Harry in a new and unexpected way, like finding a hidden magical artifact that could turn the tide in the fight against Voldemort. Another could be Dobby getting into trouble while trying to protect Harry at Hogwarts, causing a series of comical and heart - warming events.
The house elf might be very grateful. Harry is known for his kindness, so the elf could see this as a chance for a better life. It might immediately start serving Harry with great enthusiasm, believing that Harry will be a fair and good master.
Well, perhaps the house - elf is constantly tidying up in really cool ways. It could be folding clothes by magic so that they are always perfectly creased, or it might arrange the books in Harry's library in a way that makes it easier for him to find the exact spell book he needs at any given time. And it could also have a special connection with the other magical creatures around the house, like communicating with the garden gnomes and getting them to stay in line without causing trouble.
Dobby is often very popular in fanfiction. Since he was already a rather unique and brave house - elf in the original series, in fanfiction he can be portrayed in even more heroic or complex ways, like leading a revolution among house - elves.
The theme of self - discovery is also quite common. Draco, through his interactions with the house - elf, discovers new things about himself, his values, and his beliefs. Also, the theme of family secrets often comes up. The house - elf might be privy to some secrets about Draco's family, which adds an element of mystery to the story. These themes make the 'house elf draco fanfiction' really engaging and thought - provoking.
One common theme is the exploration of the house - elf culture. Since Harry is in the role of a house - elf, the fanfic often dives deep into how house - elves live, their loyalty to wizarding families, and their magic. For example, how Harry might adapt to the different types of magic that house - elves use.
Since house elves have their own culture and set of rules in the original series, it might be that in 'house elf lemon fanfiction', themes around breaking or upholding those cultural norms are explored. Also, themes of loyalty and friendship, which are prominent in the Harry Potter world, could be part of it too.
There could be many possibilities. It might be an original character created specifically for the fanfiction. However, it could also be a well - known house - elf from the original series, like Dobby, who in the fanfiction somehow comes to be owned by Harry Potter in a different set of circumstances. Maybe Harry saves Dobby in a more complex way in this fanfiction and as a result, Dobby becomes his house - elf.