Twitter How To's
See the Newest Tweets First
Twitter doesn't show you the newest tweets first by default. If you want to see every tweet as they come, you can make a change to one setting. This will remove a default algorithm which alters your timeline and shows tweets that the company thinks you will find important, as opposed to posting them in the order in which they were posted.
How to Change the Timeline Order
Look to the top right for your avatar next to the blue tweet button, and click the avatar picture to get a drop down menu. From there, you can select 'Settings'. This process may be a bit different on mobile, but you should still be able to get to your settings by looking around in the menus.
Now you want the Account tab, which should be the first one on the list to the left. At the bottom, you can see the option below:
Uncheck, "Show me the best tweets first". This will make twitter change the way they show you tweets. You'll have to enter your password to make the change. Click 'Save Changes' and you're done.
Head back to home and the newest tweets should be at the top! I had to reload the page a couple of times to get this to show, but now it works as expected.