No burning or anything, for me this mostly moisturized and brightened. I got a sample Bobbi brown one and it makes a way more noticeable difference then the benefit one. After trying that one I will not be repurchasing this one.
I've heard mixed reviews as well. I tried a sample jar and although I had no stinging or burning sensations, I didn't really notice any major difference in my under eyes. It did hydrate the skin rather well but I didn't notice any dramatic effect on my fine lines and there was no noticeable brightening of my dark circles.