I was recently declined for the Chase +1 Student card for insufficient credit history. I only have a Chase SW Visa and an AMEX that is new; I use the SW alot and always PIF. I decided to call and try to get my application over turned. The first time I called the lady sounded like she was in a bad mood and said she couldn't do anything. The second time I called, a man answered; he said that he could update the application and put household income (He said there wasn't any income for me on file?) as well as my college information. He put me on hold for a while and then came back to tell me he'd resubmit the application, as well as recommend it for approval and that I should be hearing back from them within 7-10 business days. As far as scores, they're all above 750. Just not enough history..
What are the chances something like this goes through?
Congrats on the approval! I had to recon for my Chase +1 Student card as well, but it was mostly extra verification due to a FA on my EQ file. I had to send in copies of my SS card and DL. My initial limit was $1,000 and still is; I've only had the card since Jan. and will try for an increase next Jan. 
Starting Score: 665