Better yet: don't install the Twitter app, and instead use m.twitter.com, which works perfectly and stays entirely within the browser's sandbox as it should.
You can have a separate icon for that as though it were an app, and if you really want to, you can enable push notifications just as you could with an app.
You can have a separate icon for that as though it were an app, and if you really want to, you can enable push notifications just as you could with an app.