One of our target audiences is scientists (cancer researchers) and as you probably know scientists are all about citations - how many times did my paper get referenced by other published papers?
I looked at the list of possible badges, and I didn’t see a badge for how many times someone has been quoted or reshared. There’s a badge for quoting someone, but not for being quoted.
It seems to me that the number of times you are quoted would be a significant metric of community involvement, and possibly of post quality (although admittedly you can get quoted frequently for being controversial).