Hi Viwel,
I've googled the term "current commentary study" and aside from your post, the only result is
here; in Google Scholar there are no results. This indicates to me that the term is not one in any kind of current usage; I certainly haven't come across it before. To take a guess, I'd suggest whoever has used the term in discussion with you might mean a review study of recent articles in the area, but your guess is good as mine. Maybe ask the person what they mean?