I bought a Veloster back in October. I really love mine and don't regret my purchse at all. The turbo is supposed to be on display at the NAIAS in a few days.
I have the DCT and it's one thing that I really like about the car. There are people out there that complain about some aspects of when it shifts but they all forget about the paddle shifters which will let you change whenever you want if the car isn't in the gear you'd like.
The Veloster is very sensitive with it's fuel efficiency. If you are easy on the pedal and not flying down the road then the mileage will be very very good. If you get on it, even a little, then the mileage takes a dive.
A lot of the "professional" reviews for the car rag on it for being slow. They have it completely wrong. They look at the cars aggressive appearance and expect it to be fast. What they don't realize is that it's a fuel efficient eco hatch with a very advanced 1.6l engine, not some speed demon. I had a '04 civic before the Veloster and my V is much much faster than the civic was. The veloster has no problem holding its own in traffic and never feels slow to me. I don't try to race around in it or anything like that though.
The design of the car is brilliant IMO. It's not for everyone of corse. I really really like the 3 door setup and sometimes think Hyundai designed the car just for me. I do not like having passengers sit behind me. In the past whenever my 3rd passenger would open the door behind me to get in, I'd have to tell them to sit on the other side. Now I don't have to. I really like that I have a longer coupelike door on my side that makes it easier for me to get in and out of and gives me more visibility. I also really like having the 3rd door for easy access to the back seat. The car can accomodate a 3rd passenger without any problem. While a 4th passenger will fit and be comfy, it is certainly more difficult for them to get into and out of the car as they have to slide over once they get in the back seat.
The Veloster is not without it's issues for being a new car but most of them are minor.
http://www.veloster.org/ is an active forum that has alot more information.