I completely agree with what @oregano7 said
I actually have a friend named [name_f]Olivia[/name_f] but she goes by [name_f]Livie[/name_f]. I have always preferred that spelling over [name_f]Livy[/name_f] or even [name_f]Livi[/name_f]. The suggestions above are also beautiful, but that’s and alternate spelling if that’s whats throwing you off!
[name_f]Liv[/name_f] and [name_f]Livia[/name_f] are beautiful!
[name_f]Livi[/name_f] is sweet! I have never given it much thought before but I do like it on its own
[name_f]Livi[/name_f] is really cute! It sounds a bit like [name_f]Libby[/name_f] which is cute, and I know a book which has a book character who’s name is [name_f]Livvy[/name_f] pronounced the same way.
I love love love the name [name_f]Livi[/name_f] but would probably use it as a nn for [name_f]Lavinia[/name_f] instead of a first name.