Flash fiction is an excellent writing exercise, but it's a very different animal from longer-form writing. In the last two months, I joined a writing forum that has monthly flash fiction competitions, and my first idea was a great idea (well, I thought so...) but it was just too much for flash fiction!
Let me explain: if you're limited to 650 words--and I mean a hard limit--you had better make sure you restrict the action in your story to a small enough list that you can still add some descriptive words and all that good stuff.