Overall, Lucius considered Lucy to be much better than himself which was why he had not known how to take it when she had asked him out. She did tell him that they would likely not get married or anything serious due to her family but that she didn't want to be deprived of the experience. They did spend a lot of time together, some other students were friendly but not something you'd call close friends. Especially with Lucy's half-sister and her gang making it so that befriending the two of them meant earning their ire.