Re: Clicking noise when braking to a stop from any speed.
Make sure to jack up the rear end by the frame rail, this will move the fuel tank up and the axle will drop down so you have easier access to the diff.
You would typically only hear noise from the limited slip axle while turning if there wasn't enough friction modifier in there. I agree with Frango if it only happens while braking you probably have a brake problem. Make sure your pads and rotors are ok. If you also feel a vibration while braking your rotors could be warped.
My Jeep: 2001 Grand Cherokee Limited, 245/65R17 Falken Rocky Mountain ATS, K&N drop in air filter, Bilstein HD's. De-badged, eagle-eye LED Tails & LED 3rd brake light, Addco front and rear sway bars, Superchips tuned & TM snip, interior 6k LED's, Gen3 ccfl projectors with Volt 6k HID lows, akebono brake upgrade with R1 Concepts premium rotors.