Does anyone know this setting?

So as you can see below this text, there is an image from my Iphone 5s. Next to the text under my "contacts" and "Files" app, there is a little cloud with an arrow pointing down icon. When an app has this icon under an app, I'm unable to use the app unless I tap on it. Downloading from the cloud. I think this is a feature my phone does to save storage?

Getting to the point, is there a way to turn this off? It is very annoying, when I'm out the house and have no wifi it will be on an app I want to use (like my music for example) it will stop me from using the app and try to download it from the cloud again. Accept it can't download as I have no wifi. I think a while ago, I accidentally turned this setting on in my settings. But ever since I've not been able to turn it off.

Does anyone know the name of this setting and how to turn it off? Thanks.