Using Twitterfeeds for backlinks?

I have found a news website that uses a twitterfeed to show related tweets to the news message. They show which hashtag they used to display related tweets to that news message.

So my question is:
Are twitterfeeds on websites a good way to get (site-wide) backlinks?

Or is it complete nonsense?
Sorry for my crappy english.

yes it is god. Be sure to sign up for posting on identica, facebook, and twitter and any other sites they will auto post to.