My wife and I tried using Evernote for keeping a running shopping list. Our options were: You can copy the shared note, but only that most recent version. Or, you can keep it as is but always have to navigate to the "work chat" and click on the note there (no way to add a shared note to your notes without copying it).
not trying to spam, but i created a shared action item tracking list myself, free to use, my particular use case was to track everything in our family from buying things to other tasks. i could also use this for work, only iphone.