I was looking at the new, and quite remarkably even worse, Twitter web app timeline where you can’t get even a semblance of chronology anymore. So in case it’s useful here’s a couple of searches I found that can put things back in a sensible order if you look in the ‘Latest’ tab.
filter:follows -filter:replies include:nativeretweets
Just paste in the search box.
I’ll stick with Tweetdeck myself but should I be desperate it’s a useful backup.