I'd recommend completely powering off the tablet and then back on, even the tablet has internet connectivity and then try launching the app again.
When you launch PSTouch for the first time it's important to have network and you're signed-in with your play account. Please try this...
1. Uninstall PS Touch
2. Reboot the device and reinstall PS Touch via
the play store app
3. Launch PSTouch . For the first launch of the app you need a network connection and signed in with your play account
Hope that helps.
Thanks all. Having read a similar post, I uninstalled the software, then went back to Google Play, downloaded the software again and re-installed. Now working fine.