Android Studio Mac version v.0.3.2 is damaged

It's colliding with the system security feature that requires all apps to be signed (and preferably only distributed through the Apple app store). You can go to Settings > Security & Privacy > General tab and choose "Anywhere" from "Allow apps downloaded from". You can change this temporarily while you launch Android Studio the first time, and then change it back. You can also usually right-click on the Android Studio icon and choose "Open" from the menu; it will give you a different warning with the option to proceed with launching it.