We have several publications, both online and in print. If we want to post the same story in two places online, it's no problem: Add another section tag, and the story appears on both sites (and redirects to the main story). Print is a different issue. Stories often are duplicated for print because headline space or story lengths are different.
So two possible solutions: Optional trims and headline fields for secondary and tertiary publications so everything stays in one file in TCMS. Then someone would have to figure out Or group those stories together in TCMS so copies have a child-like relationship to the parent — they're grouped in searches, and the "parent" or main story is always on top; the copies are listed below. Those copies aren't (OK, shouldn't be) published online. But it's easy to edit a headline on a copy, thinking you have the "real" story.
Customer support service by UserEcho
We actually duplicate the story and its children when it goes in another pub we handle.
While we could simply add the site tag and the category tags specific to each pub's site, there is the headline issue you mentioned. The bigger concern was giving different editors the flexibility to prioritize photos, add their own breakouts, and in some cases change references to match their pub's style book where there might be differences, without impacting someone else's work.
It does create an issue to make sure edits get made in both places, but we put an up front editing emphasis on that content before duplicating.