Today the Logo is ready to go into the app and onto the Facebook page.
It's been changed and hopefully marks the time for the app to be put up to the test and submitted to the Play Store.
The Logo is the first point of contact with the user and is also the first clue to whether your App is good or not.
I don't believe that the Logo has the power to get users to click it more so than its ability to NOT deter potential interest to click the app.
In any case when designing a new app, or any product for that matter, it is worth your time considering the logo and the branding of your app. It's the first piece of marketing.
In 5 - ready for prime time.