Wait, I think that you're talking about when it shows up that someone has edited a review? There are two ways to do that. I show up as editing peoples reviews because they are my students. When you become a mentor it shows up like you edited your students review, though you don't get compensated.
The other way to edit a review is to join the Editor program. This is a program that is actually pretty selective that gets rotated every 3 months. You have to apply before the rotation switches and they take into account your experience, typos in your current reviews, your writing style, if you've been a mentor, and just about everything else. If you're accepted you become an editor and edit reviews of those with less than I think a 5.5 ranking. Most people have to apply more than once, so if you don't get in the first time don't give up! You also get compensated a few dollars in points for every review you edit.
I hope I answered your question!