The timing chain on my 2013 Renault Clio has failed - should I push for Renault to cover the full repair costs?

I've owned my 2013 Renault Clio 0.9 since new and it has done 36,500 miles. The car has a full service history. The timing chain has failed and is currently with a Renault repair centre, customer services say they are prepared to cover 75 per cent of the cost of repair. Should I accept this offer even though I've been told this failure is unusual for a vehicle that's done this mileage? Additionally, the Renault mechanic also believes it is a manufacturing issue. Renault customer services have said this is a full and final offer. I feel a bit frustrated and would value your advice.
It's four years old so out of warranty. But if the car has been correctly serviced, on time (I say fresh oil and filter at least every year or every 10,000 miles whichever comes first), then the timing chain should not have failed and you could claim that the engine was fundamentally faulty, therefore the repair should be entirely free of charge. Depends on the cost how far you want to push it. If you only have to fork out £250, not worth bothering. If £500 + and a replacement engine is needed, worth fighting for. Law here: www.honestjohn.co.uk/faq/consumer-rights/
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