Dons right, you can get the application for the Chicago test on the Building Department web site.
They just gave the test in November, they usually give it in June also.
It's a pretty tough test, you have to know the Chicago code book really well to have a chance of passing it. It consist of 150 questions in 240 minutes.
You have to know a lot of answers without looking them up to finish on time.
I just took the test to see if I could pass it. I passed but I wasn't very optimistic after I was done.