Might be worth talking to your local stealer about it.
I had a 1.4tsi beetle, the 1.4 tsi is renowned for Camchain problems and consequently when I took mine in, despite extended warranty the Stealership said my Warranty covered the labour, VW put their hand in their pocket for the rest as it was a known problem.
So the local stealership should be able to advise if it is a known problem and talk to VW about whats covered. Whats the mileage? I take it you havent got extended warranty? if its got under 60k on the clock, it might be one that could be argued, because if its a known problem and its under the manufacturers mileage warranty, age would potentially become irrelevant when it comes to the legal practice of an item being designed to last a reasonable amount of time.
My other half had one of those 1.4tdi's (2015 Skoda Fabia), hers was the 105ps which she traded in about 60k and in those miles the only problem we had was the water pump when it was 2 years old needed replacing. They only replaced it because a problem developed, it wasnt recalled.
Its like being chased by an imploding star...
...One day I'll finish it all.