Yes, it has a cam belt. It should be replaced, if wanting to do so by interval, every 80k miles. You can go by inspection if you like, but not the easiest to get at. You'll want to plan on replacing the water pump at the same time.
The crank drives the "timing" belt and turns the exhaust cam at the front of the engine. The exhaust cam drives the cam chain at the rear of the engine and turns the intake cam. The cam chain is usually replaced, as said, when it begins making a ridiculous slapping noise due to a worn composite portion of a chain tensioner mostly. None, I am aware of, have measured the cam chain to report if there was actually chain stretch or whatever, but it is a good time when adding a new tensioner to just go ahead and add a new chain and vacuum pump while there. If were going to add this to an interval...would probably be at about 120k miles if no symptoms appear before then. I've seen posts, by VW repair shops, stating VW timing chains should last at least 120k miles.
Just having got the car @ 76k miles...I would first replace the HPFP's cam follower. It will go out at any time between 80k miles and 120k miles ±10k miles. It is $40-$50usd and can be done yourself if you can manage the banjo bolt at the low pressure fitting at the bottom of the HPFP-(high pressure fuel pump) at the top/rear of the engine. My vids ↓:
If it fails, you will be replacing the intake cam and HPFP w/cam follower at the very least. I would suggest doing this every 80k miles along with the timing belt and water pump. So yes, you are coming up on the time for a new timing belt and water pump.
You didn't mention its transmission, so if it is DSG you'll need to also do a DSG service every 40k miles. So, if this was done at 40k miles or not, you are due at 80k miles and every 40k thereafter. This is a costly service so you may want to do some research and learn how-to if so inclined.
