I am having the same issue as bloguser2012. At first I thought it might be related to the issue with buttons not showing up on individual posts due to the changes to Jetpack with Publicize and Media Sharing, but I have deactivated both of those modules and I still have doubled icons on my categories pages. For the time being I have reactivated the publicize module; however, if this needs to be deactivated for troubleshooting, please let me know.
https://waynecochran.net
For an example, see this page:
https://waynecochran.net/movienite/