Different engine i know but i had issues with my 1.8T, i thought it was clutch plate issues at first since it would make the noise when pulling away, and only a slight tappet noise when running.
Not sure if your engine is the same, but the 1.8T has a camblet to drive the exhaust cam and timing chain to drive the inlet (iirc). The tensioner which sits on the timing chain is oil pressurised, the piston and guides wear, meaning instead of the timing chain being tight, it's allowed to run slack, and you get noise.
Might be worth checking up on.