I have an iPad 2.
I have tried uninstalling and reinstalling two times.
The app has never worked for me.
The app has never gotten past the blue screen with the ps logo.
I have tried quitting the app (completely closing it and restarting it)
I have about 11gb free space on the device.
there are several threads with this topic.
So the way to work around it is either to restart the iPad or uninstall and install from iTunes.
Hope that helps.