Well, do you? I tend to like to eat things with the skin on, but never tried it with a turnip.
I do, but cannot say for sure that turnip peel or skin is good to eat because I have never tried it. I would imagine that it could be tough kind of like potato skin but I could be wrong.
with the small young ones, I just wash them well and trim the ends and don't peel. With large ones, I usually do peel, thought I really don't know if you have to.