Clearing Chat For All Users Not Just Admin

Widget showing on sidebar or corner Chat Popup, can clear Chat if an Admin. These are seen by everyone and once a thread is done it remains showing. Is there a setting that will clear at a set interval or when there is a lag in one thread before someone might want to start another thread.

For an Admin to go in multiple times a day to clear a chat isn't feasible, we need the User to be able to clear or the program to clear after a period of non-use.