Hi Rover. It sounds like this question would be more appropriate for the Word VBA subforum. Perhaps also try posting what you have tried so far to narrow the scope of the question.
In the meantime, you could start by checking out this
tutorial by Graham Mayor on selecting the text within a section.
My first thought is that you could add to that macro (perhaps even by using the macro recorder) to run the aforementioned macro, create a new doc, and paste the contents of the clipboard. You could then assign that larger macro a keyboard shortcut on the user's machine and create a clickable TOC (or if they won't know to Ctrl + click then you could create a list of bookmarks as a manual TOC). So the user would have to click the section and the hit Alt + C (or whatever you assign the larger recorded macro) to run the select/copy/paste function.
Perhaps after tinkering with that a bit, you could post your working code to the Word VBA forum.
Good luck for now!