Instead of first fixing the overuse of sighing and crying and then do another editing pass, I'm just doing a full edit on version 0.8 now. There might not be a version 0.9.
Don't waste your time on version 0.1-0.8. I've been replacing entire parts of phrases with a single word, such as: "She hesitated for just a short while" -> "She hesitated momentarily." ("Momentarily" = "for just a short while", according to Google.)
This technique alone dropped the word count some 50 words, and I've just edited 300

If this is an indication for the rest of the piece, I might drop 1,000-1,200 words without changing the meaning of a single sentence
Ah, well. I will have some room to make up more story
Nah; I might drop some words this way, but there -is- some other stuff that needs a bit of clarification...