I'd actually prefer that all the admins on our hosted site simply can't see this type of activity. Does anyone know which settings I can use to ensure people cannot see links to things they don't have access to anyway? In this instance, it is a private message that only the 2 users can see but the admins have access to seeing the titles but not the content within the recent activity widget.
Reviewing through your description the answer will depend on the version of Jive you are on along with other variables set on your instance. As this could include private information I would recommend opening up a case in your Jive Community secret group where a support engineer can review through your instance and provide a more accurate answer.