In a fanfiction, a child Connor could be created by an error in the CyberLife system. He might end up in the care of Hank, who is initially very confused but gradually grows to protect him. The story could explore how Connor, in this child form, experiences emotions for the first time. He might be fascinated by simple things like rain or the feel of a pet's fur, which are new sensations for him.
There's also 'Connor's Uncharted Territory'. In this fanfic, Connor gets involved in a complex case that forces him to make decisions that go against his initial programming. It's really interesting to see how he evolves in this story. The character development is well - written and keeps you hooked.