Kenny, I assume that you're an ATCO who is trying to make sense of it from an ATC perspective? If so, you might find that separation standards might be reduced due to the accuracy of equipment meeting a particular RNP standard. This will probably only be of value when the aircraft is in enroute flight.
In any event, nothing will change until your local separation procedures are changed to allow for it. Until that happens, RNP will probably not make much difference to ATC. It will, however, make a massive difference to aircraft operations - which might free up approach airspace more quickly, thereby (maybe) allowing other aircraft to commence their approaches sooner.