Less than 24h after installing it, I've had to uninstall the official @TwitterSupport application for Android because of its infuriating reordering of my timeline and its incessant advertisements. I'd rather just not twitter on my phone.

Try Tweetcaster.

Thanks for the recommendation, I've installed it and I'll give it 24h :-)

I should have added - there are adverts in the free version, but I don't remember them being too bad. (I bought the full version). The main plus point is the feed is shown chronologically.