What is contained within the custom listview? Normally I have a map attached to each item in the list view which is effectively the data which is usedwithin that entry. You should be able to save this information and then recreate the CLV from that.
[Probably I should have written this post in "Bugs & wishlist"] If I have not made any mistakes, it seems to me that StateManager can not rebuild (save & restore) CustomListviews (let alone xCustomListviews) and their contents.
www.b4x.com
the first line of the statemanager tutorials say:
Edit: StateManager was written in 2011. I don't recommend using it for new projects. Use B4XPages + KVS2 instead.