Close the iTunes & App Store completely by double-clicking the Home button and swiping up on the thumbnail. Then reset your device: Hold down the Home and Power buttons (or Volume Down and Power buttons for an iPhone 7) at the same time, and continue to hold both down until the Apple appears (up to 30 seconds). Once the Lock screen displays, try to download the app again.
Also, make sure that you don't have updates that are hung up and preventing the download. Open the App Store and click on the Updates tab to check this.
Cheers,
GB