We also did the "only check mail on the phone" implementation for security, but it ends up hurting the user experience because Apple gets to decide when to use background data.
It gets better (more frequent) the more you use the app, but it's hard to get users over the initial delays in mail checking. Just something to think about as you're building this.
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The name is very similar to an app that I worked on - ClearSlide Mail: https://itunes.apple.com/us/app/clearslide-mail-sales-inbox/...
We also did the "only check mail on the phone" implementation for security, but it ends up hurting the user experience because Apple gets to decide when to use background data.
It gets better (more frequent) the more you use the app, but it's hard to get users over the initial delays in mail checking. Just something to think about as you're building this.