My iPhone won't download my game from iCloud on my computer

I deleted a game, cause it was lagging. I tried to reload it, but it does not appear when I search apps. In fact when I search nothing comes up. Blank screen. I can find the game when I search in purchased. It's in the cloud. But when I try to get it from the cloud, the icon turns and turns for minutes, but still no game. How do I get my favorite game on my iPhone. Going crazy.