Maybe u joint. Get under and grab the rear D/S, try to show the play. From the description I'd pay attention to T case outputs
There is a idea, get under and look then grab your smarter then you smart phone and post what you have seen.
Sounds like a universal joint.
Hi so it needs to be inspected to find out what is causing it then.
Every time I get hard on the accelerator (75%) I get a loud clicking/clunking noise from the rear end. It sounds like it's coming from the passenger side. Any ideas?