I put a deposit down on an apartment, had an approved application, and was set to sign a lease. At the last minute, I was told the apartment was no longer available. Do I have any recourse?
Until you have a signed lease, you do not have a lease. Unless the refusal was on prohibited grounds such as race, color, creed, etc., you'd be out of luck. Sometimes this depends on proving that the landlord "accepted" you as tenant, took a deposit, etc.