In my case, simply closing all open Word documents results in immediate saving of all unsaved documents. By
all I mean that Word will save all unsaved files to disk when you close the very last Word window, not when you close the window for a given document (but have some another Word window open).
I guess Microsoft's logic behind this behavior is that there is no hurry, the text is safe in memory, why save it to disk now if we can do it later. If you close the Word window for this file and then opens the file again, Word perfectly shows the new, updated
contents from its cache as if it were saved to disk, but faster. So what's your problem.
Naturally, with this logic, when you update a document, save it (you think you save), and send the file by email (or copy it to USB, etc.), you are
sending the old copy, or just empty document, without any warning. Which can cause huge problems -- just imagine possible consequences (including security) of unknowingly sending out an old copy of a document.
The fact that when you open the document again you see updated contents makes things worse because the Word is lying to you as to the contents of the file on the disk -- you see what is not not really in your file but only in Word's internal cache. An advanced
user can see the actual file contents with something like Far Manager, but an ordinary user has no clue as to what the file she is sending or copying really contains.
There is a small cross icon next to the "Word is saving ..." message. If you click on it, Word stops attempting to save your document. However, when you close the very last Word window, all unsaved file are still saved normally.