I am old school replace all belts, water pump, pulleys and front seals at 60,000 miles. I do the work myself and have all the tools. I appreciate some people could/would not want to DIY. It's a faff but easy would not pay garage prices for something I could do myself.

They originally included the water pump in the original £1101 quote but I was charged £860. On the invoice it says Timing Belt Kit LLR032526 (£132.51 plus vat) so it looks like the water pump wasn't done due to the low mileage and there would have been charges for anti freeze etc added too. It would be interesting to see the contents of the LLR032526 kit.

What I did notice was that they sent me a video of the car to discuss the rear tyres and I noticed a cam belt on the floor so looks like they actually did the job!  3 x FL1 2 manual + 1 auto
5 x FL2 4 manual + 1 auto
Now Discovery Sport P250 MHEV SE

https://www.buycarparts.co.uk/land-rover/f...r%5B%5D=33 MY 09 GS manual in Lago Grey, Wood Co arm rest and side bumper strips - now sold.

MY 15 SD4 SE Auto Orkney Grey with colour coded Bumper Door Mouldings

Replacing the cambelt kit without doing the waterpump at the same time makes no mechanical or financial sense IMO, Relatively cheap parts like waterpumps can fail as can the cambelt so why not do both at the same time as labour costs would be the same either way.
Preventative maintenance is not on LR's radar... Haldex, Gearbox fluid, Diff oil, need I go on
A good Indie would always replace both

I agree with your comments about the water pump but I have a LR extended warranty which you can't have unless the car is serviced by a dealer (well you can go to an indie but to get the warranty they insist on a LR inspection for about £500) this effectively ties you into the dealer network (which isn't so bad if they do the 3+ scheme).
I have had the service and cambelt done as prescribed by LR so if the pump fails then it's clearly a warranty job. 3 x FL1 2 manual + 1 auto
5 x FL2 4 manual + 1 auto
Now Discovery Sport P250 MHEV SE

I had an email from Land Rover UK today.

It seems the 3+ scheme may be back on?

And an oil and filter change and check over at £149 doesn't seem too bad ... offer open to the end of July 2021

seem to remember that the last "oil & filter change" on the DS cost £450 Tangiers Orange - gone, missing her
Replaced by Ewok what a mistake - now a happy Disco Sport owner

Do you think? £10 filter and £25 for oil.... Landrover - turning owners into mechanics since 1948

2014 Orkney grey Freelander SD4 GS.
2004 Zambezi silver Discovery 2 Td5 (Gone)
1963 Surf blue Morris Mini Minor Super de Luxe (my little toy)

Would you recommend to replace the chain for the oil pump drive and the oil pump itself during a timing belt and water pump service? Or is it unnecessary if I dont have trouble with these components?

Thanks!

Changing the oil pump chain is tricky, unless you're planning on removing the crankshaft.
Mine has some slack in it, but it's not excessive at 120k miles, I suspect it doesn't need changing. Hyundai Ioniq 5 Ultimate. The family car.
2009 Rimini Red SE TD4. Gone.
2006 Tonga Green i6 HSE. Gone.
Audi A5 convertible, my daily driver.
1972 Hillman Avenger GT, the project.

Sounds great. Mine has 75k miles on it.

Timing belt & water pump (Gates) fitted today @ local garage all done £300 nearest LR dealer to me quote was £830 only difference was no courtesy car with local garage.

Where was that done ?

Apart from timing belt, tensioner and water pump is there anything else worth changing while changing while in there?
Auxiliary drive belt / tensioner? Landrover - turning owners into mechanics since 1948

2014 Orkney grey Freelander SD4 GS.
2004 Zambezi silver Discovery 2 Td5 (Gone)
1963 Surf blue Morris Mini Minor Super de Luxe (my little toy)