There are two ways to access league standings.  The first option is to access the left-side menu and tap Standings & Fixtures.  Next, you can view the standings of the leagues you're currently following as well as other leagues.  The other option is to tap the star icon on the top right corner of the Home Screen.   Next, choose a certain team or league you're currently following.  While on this team/league's page, scroll to view those particular standings.