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Not meaning to sound unfriendly but I wish I had a pound for every time I've answered this DSG question.
A few, not many, earlier GTI's had Mechatronics Modules failing (me included) but VW worked hard to solve those issues. What's important is to do the DSG Service every 40k miles and, if buying, to check this has been done.
If remapping, the DSG is very strong but if you overdo the torque the DSG box could suffer.
Otherwise, it is human-proof and so the clutches can't get abused by the driver.
It's much more than just an 'automatic' - You can shift gear exactly when you want just when you do with a Manual but with the paddle shifters. It's the best of both worlds in my opinion.