Of course, you can't see the gearbox itself, but the sound a powerful 2-liter turbo makes when the twin-clutch gearbox blips it is unmistakable. You hear it on everything from an AMG to a SEAT.
Adding Hyundai to that list is not trivial. Sure, Volkswagen has been offering the DSG on its performance compacts for nearly two decades now, but other manufacturers didn't follow despite encouraging sales. The Honda Civic Type R, for all its lap records, is manual-only, as was the Focus RS. So if you wanted a fast, convenient car that's relatively affordable, it was probably going to have a Volkswagen badge somewhere. Of course, the Europeans now have a Renault alternative as of last year, soon to be joined by the Focus ST.
According to Hyundai's own statements, the DCT is developed in-house, unlike most affordable twin-clutch autos that come from Getrag. It's supposed to have eight speeds and a setup that's compatible with lots of torque (wet clutch).
The DCT should be available on both the 250 and 275 HP versions of the Veloster N and i30 N, which should be ready by the end of the year. Fingers crossed, prices won't go up too much.