I mostly read Twitter on my iPhone using the Tweetbot app. When I see an interesting article, but don't have time to read it, I usually save it to Instapaper, the read-later service. There are plenty of such services, but Instapaper was the first and best, and I like that I have access to my articles on many devices, from my computer to my iPhone to my two iPads (a mini for work, an Air for home pleasure use, like movies and games).