I've been in this game a long time, and I cannot think of (a useful) one.
Just to mention one, I want to know if I have been getting new links since my site redesign, and if they are quality links or not.
A bit of a waste of time, don't you think ? The time spent doing that could be better spent elsewhere. If anything, I'd rather know what sites no longer link to me, rather than knowing who is linking due to a redesign. Each to their own I guess.