Touch Twitter’s sparkle and something wonderful will happen. That’s not a euphemism, it’s Twitter’s terminology for the option to enable a chronological timeline, now available.
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On iOS, when you open Twitter you’ll see (or soon see) a sparkle icon in the upper right. Tap it and you’ll see a chronological timeline. This means you’ll see tweets as they happen, instead of more popular tweets shown first. You know, like in the good ole’ days.
Apparently the app will somehow learn from your habits, and potentially enable it for you. But if you want it on all the time, tap the icon. You can also go into Settings and Privacy > Content Preferences. Under the Timeline section uncheck the box next to “Show me the best tweets first.”