As said in earlier reply don't show any hurry to immigration officer or airport authority. Just be cool and calm. Probably what you can do is to be among the first one to get off the plane so that you are atleast ahead of few hundreds of people who travelled along with you. This would save you enough time.
At immigration check it doesn't takes more than few minutes just your finger printing and they would ask you your purpose of visit, etc. Only time spent is standing in the line and waiting for your turn to reach immigration officer.
I guess you should be able to catch the connecting flight if everything goes smooth and there is no delay in flight.