I gave up on Twitter a while ago, but is there still a feature you can click where you only see stuff from those you follow (interspersed with a few adds)?
There are two tabs. A "You Follow" tab, which only shows tweets from those you follow. In chronological order, I believe.
And then there's the "For You" Tab, which shows tweets from people you don't necessarily follow, but might be relevant based on your algorithm. And they're often ordered by the number of impressions (views, likes and retweets) the tweet receives.
And when the algorithm wasn't f***ed, the "For You" tab was great for getting a canvas of your interests. You can't necessarily follow EVERY person related to your topic of interest, so it was a great place to get the lowdown. When the Canes were playing the Islanders, for example, that tab was full of Canes fans and Islanders fans reacted on the series, lesser known stats tweeted out about the series, etc.
Now, as bleed said, it seems that tab is less about conforming itself to your interest and showing popular tweets in said topic (hockey, for example) and more about finding YOUR interest in a popular topic (politics) and showing every tweet related to that.