I have just purchased a 50,000 miles full dealers history sport 3.6 td hse. It’s had new discs and pads all round. New front wheels bearings and new prop shaft. The problem is a slight clunk from the rear when going over the occasional bump. It happens over 20 mph and isn’t severe just annoying. We defiantly think it’s from the rear. Any help or common issue that I can check for whilst under the car or does it have to be jacked up to check. It’s super quiet apart from that ! Is there a common part to look at. Thanks.

Cant answer your question mate but just be aware that if you go under the car, the suspension can be active for hours after ignition off and can re-level itself with out warning and any time. 2012 5.0 SC AB
Mods:
TPMS
Genuine LR DRLs
Remote Boot close from key fob
2016 Discovery 4 Mirrors AKA RRS2
2014 L405 Surround Camera retro fit (WIP)
2013 RRS Dual View Screen fit (Complete)
2016 LR4 RSE
2014 LR4 Homelink
2016 FFRR Electrochromatic Wing Mirror Glass

70 plate Focus ST (Current)
1942 VEP Ford GPW Jeep (Willys) (Current)
1943 Whites M16 Halftrack (Current)
16 plate Eurofighter Typhoon, 2 x Eurojet engines with 20,000lbs thrust each. 1380mph

I would start by looking at the arb bushes and links 2008 G4 RRSport TDV8 current
2009 TDCi 90 current
2018 Discovery 5 HSE lux current
1994 Dakar current

so the car has now been to a suspension specialists. I asked them to check anti roll bar bushes and they said it wasn't those it was the bottom arms and they don't replace the arms just the bushes with better ones. That job has been done and even though quieter there is the odd clunk still. They now believe there is a stop on the sway bar and is occasionally hitting the side of the chassis and this is caused by the anti roll bar bushes letting the bar move from side to side occasionally causing the knock.
They are now intending packing the sway bar with small tile like squares which is a Landrover part issued by Landrover as they were no longer doing warranty claims on anti roll bar bushes. Drop links have also been done and everything else on the car appears tight as it should be. Does anyone else know anything about this sway bar moving occasionally from side to side ?

The bar does have lateral movement in it as that's how it works. Shimming the ARB bushes is a known solution. 2012 SDV6 - it's missing a couple of cylinders
2008 TDV8 - it was a labour of love and is much missed