Louis,
As it stands right now it's possible for your spouse to apply for an EEA family permit based on you being an Irish Citizen exercising economic treaty rights in UK.
There's really far too much detail and too many twists and turns to go through the whole thing again.
May I very kindly suggest you do some searches here where you will discover all the needed information.
I would say that if you are eligible then your wife should get the application submitted asap as the transitional period between immigration law change and implementaion of new rules preventing that route for you will end on October 16th
If you start your searches by following the posts of Robert, you should find what you need.
The application is free and there is no requirement to meet UK immigration rules at all including financial and English language testing.
In principle there is nothing to lose. But you must both act very quickly.
Also, be aware that any decision made is totally discretional and down to Home Office Policy. This is because the European court already made the ruling way back, but the Home Office did not immediately implement.
In addition to your forum searches here are the UKBA information links on the EEA family permit route.
Look here for EEA family permits
Take a look at the UKBA page for EEA Family Permit for details of what it is and how to apply:-
Look here also for some very good additional information on the EEA Family Permit.