DH and I DTD on our first date. I had known him a couple of days. So far it's working for us. :)
I know another couple that is married that DTD on their first date. They've been married about 10 years.
I know lots of people it didn't work out for though.
We DTD on our 2nd date and we're now married and been together happily for almost 8 years! I think it all depends on the individuals.