Hi Rebecca,
I too have been working like you. In my experience it works well provided: 1) you make sure Dropbox is fully synchronised with the green tick-mark and wait a minute or so before doing anything like turning off your computer; 2) you don’t work with two computers synchronising with Dropbox, and do some editing on one of them when you are unable to be online.
You might like to read the discussion on this thread: