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The click was coming from the fan assembly so I replaced it. The same exact sound yours is making and at first I thought it was a timing guide slapping.
The LR4 is a noisy engine even when new so it's hard to diagnose issues over the loud fuel injectors.
I will tell you that if your alternator is making that noise, the valve cover gasket above it may be leaking and dripping oil into the alternator. That happened on my LR4.
If it sounds like a metronome on about a 1 second timing then it is not your timing chain.