I removed all the sweet potato vines from my garden. They go into compost unlike the tomato vines which, due to risk of blight, don't get composted. While removing the vines I found yet MORE potatoes. Bringing my harvest up to about 18 pounds. I'm VERY happy with those numbers, given I had NO idea what I was doing and planted only 3 slips 'lasagna' style over solid clay soil. These are, after all, a crop that loves SANDY soil, the opposite of what I have!
So, I hear you asking, how are they for eating? Remember - I've grown these in the wrong soil and in a drought/heat wave, so YMMV. Not as sweet as most orange sweet potatoes to me, and while the skin on most of them is thin ... just under the skin is a fair amount of fiber which can be nasty. But I'm sure that I'll learn how to deal with that better soon.
I expect that the leaves are edible, too, but haven't tried them yet. The deer LOVE them. I let the deer in at the end of the season, so they could help remove the vines. Working WITH nature rocks!
So, again - nice flavor, GREAT color, GREAT yield.