The Apple Music app doesn't take up much space at all. It's the songs you've downloaded that can eat up storage space. If your device storage is full, removing songs can help free up the space you need to perform updates, take pictures, and download new apps. One way to check your Apple Music storage is to go to Settings>General>About. This will give you a breakdown of what's taking up the most space. Look for 'Songs' to see how much space your music is taking. Assuming you have a lot of songs that you don't listen to anymore, deleting music is a great way to clear up space.