This is a minor detail (and as always, maybe I am missing something):
I can save a story with “Save this story”
it shows up in the “Saved stories” folder
on iPhone: if I want to remove it from the folder, I use the “Unsave this story” function
in the web interface, this is called “Remove bookmark”
I think it should be called “Unsave this story” in the web interface as well!