People worry about the Quick Edit icons - sometimes, needlessly. I was logged out - but I can still see the edit tools! or My visitor logs show people clicking on the "rearrange" links!! Fortunately, no matter what can be seen - or may be clicked - only administrators will get any result. I use the "rearrange" links for many blogs, frequently. The links are unbelievably useful, when instructing a blog owner how to remove a misbehaving gadget on her / his blog .
What Blogger won't tell you