It's very possible that you don't have time to keep track of every link posted by those you follow on Twitter. Because of that, Paper.li paginates yours or any Twitter user's followees and lists into an easy-to-read, popularity-ranked online newspaper.
You'll need to authorise Paper.li with your Twitter account to get the really useful benefit, which is a newspaper, generated daily at a dedicated permalink, that you can head to at any time and check to see what everyone's discussing in your personal follower universe. Paper.li was right on the money with my own page — I saw about 10 links to Roger Ebert's complete decimation of The Last Airbender yesterday, along with much chagrin about the Microsoft Kin's death knell.
Paper.li can also create "papers" from hashtags or searches, but it's best used as a time-saving (and maybe sanity- and productivity-saving) digest.