You would receive a 4 hour credit for the 16 hour training requirement for the Illinois Carry Concealed. Save your training certificate as there is talk the state may not accept your actual Utah permit as proof of training and may require a copy of your training certificate. No matter what, unless you have completed 40 hour LEO or Security training, you need to take at least 8 hours.
Here in lies a problem however, because although the state is saying they will credit you 4 hours of training, they will not approve 4 or 12 hour curricula to make up the difference. If you don't have another 4 hour exemption, you may be stuck taking the full 16 hours. We were going to offer 4 hour supplemental classes until the state refused to approve 4 hours courses. Therefore rather than risk some of my students getting denied their carry license, I decided to offer full 8 hour NRA Basic Pistol classes for the cost of 4 hours.
Feel free to contact me if you are interested in training or have any other questions.