I agree with the other berries that it’s not the most natural nickname, but I do think it works! Most [name_f]English[/name_f] speakers say [name_f]Elisabeth[/name_f] and [name_f]Elizabeth[/name_f] the same way (at least, I think they do?), so sound-wise I don’t think there’s a huge difference between [name_f]Elizabeth[/name_f] and [name_f]Elisabeth[/name_f] for the full name. I do think it could work though you may face the assumptions the others have mentioned. If you’re open to other nn ideas for [name_f]Elizabeth[/name_f], I think [name_f]Eliza[/name_f], [name_f]Zizi[/name_f], [name_f]Sisi[/name_f], [name_f]Tilly[/name_f], [name_f]Tess[/name_f], [name_f]Bess[/name_f], [name_f]Betsy[/name_f], [name_f]Lily[/name_f], [name_f]Elsie[/name_f], [name_f]Elsa[/name_f], [name_f]Zibby[/name_f], and Liesey (lee-see) could all work too! But [name_f]Elise[/name_f] is very lovely and I wouldn’t feel any type of way if someone I knew in real life named their daughter [name_f]Elizabeth[/name_f] nn [name_f]Elise[/name_f]!
Good luck!