Is there a time frame in which a car dealership must tell customer if finance was approved or not approved?

I have had my used vehicle for over a month now. Just two weeks ago they said they had approved me for better loan rate. I accepted. Now I got a call asking for W-2 and pay stubs. I will provide them, but I am now worried that they are trying to pull a "yo-yo" on me. Usually what comes next is they offer you a new contract with higher rate/payment. I'm ready to deny any type of offer like that and get my 2k down payment back. One of the papers I signed said that I would have to pay for my use of the car should finance fall through. I can understand that, but after almost 2 months?! So back to my original question. In the state of Florida (or Federal) are dealership required to get back to you over your finance in a certain period of time? Any help is greatly appreciated. Should future legal action (by arbitration as was signed) I have left my info for any nearby lawyers who may be able to help me in my situation.