I think that "give yourself some space" is by far the most helpful tip. At any given moment, in any given state of mind, you'll only ever have an imperfect perspective on what it is you're trying to say, and how well you've succeeded in saying it.
Waiting until you're in a different frame of mind, then revisiting the piece, is the best way of "layering" your own ideas – filling in gaps, considering new perspectives, coming to new realizations.
I think it's something that has to be done with every piece of writing. You either get someone else to look at it and do it for you (if you don't have time), or let enough time pass that you have (in a sense) become "someone else" yourself, and read again.