I signed up for this card 3.5 weeks ago, online, and still have not heard from them. I did not get immediately approved (which sort of surprised me, but whatev), and instead got a message stating I should hear something in 2 to 4 weeks. Since then, they've sent me the pre-approval two more times. I haven't bothered re-applying, as I figured after the 4 weeks, I'd call to see what the hangup is. My scores, this in March, were in the 718 to 742 range, and I haven't done anything recently (that I know of) that would change them that much. Just thought it was odd that I hadn't heard anything from them.
I know a couple years ago when I tried applying online to a pre-approval, I didn't orginally get the card, but a letter was sent out the very next week. That was when I found my Experian CR was basically blank. After I had them look into it, though, they updated and approved me.