Discovered this page on the Irish government's Department for Foreign Affairs and Trade website that shows the rolling statistics for passport applications.

Statistics on Irish Passport Applications from DFA.IE

At the momenppt it's showing the annual statistics up to June 2016.

It'll be fascinating to see the statistics for July when they come out. Has there been a spike from Northern Ireland or Great Britain? Helpfully the page breaks these figures out as separate tables :)

It was last updated with June's statistics on the 7th July. I hope we'll see July's figures in a week or so.