Question: I currently have on my CV a list of conferences I organized, or co-organized, a list of invited talks, a full list of talks, etc. Recently I have been asked to chair a session in a prestigious conference. I am very honored, and thus wondered: is this something I can feature on my CV? If so, would somewhere along with the conferences organized be "standard"?

Answer: 
I see absolutely no reason why not. It fits perfectly well into "other academic achievements, honors, and activities" (or whatever else your title of this part is). Just don't declare it the biggest achievement in your lifetime and provide the relevant details (conference name, level, session, etc.) in a reasonably full and concise format so that people can appreciate what you are talking about.
These conference chairmanships speak well of your "administrative" ability. Some universities prize this, whether or not they say so. So list at least this one, and possibly others, on your CV.

This don't help your "scholarship" credentials per se. But even scholarship is about networking, and many professors will therefore value you for the contacts you have and the doors that you can open for them.