I'm not on twitter, but I still view the 'best' tweets on various sites that gather them together. This works for me, I can read the newsworthy or particularly

I'm not on twitter, but I still view the 'best' tweets on various sites that gather them together. This works for me, I can read the newsworthy or particularly funny ones without all the bla-bla ones to dilute them. It's not real-time, but that's fine.