Diigo provides a lot of good, free services for saving Internet links you want to remember. It will also save the Tweets you have marked as Favorites. It takes a few quick steps:
Go to http://www.diigo.com/index and set up a Diigo account, if you don’t have one already.
Go the the Tools tab at the top of the Diigo page:
Scroll all the way down the Tools page until you see Save Favorite Tweets at the bottom:
Fill in the information requested by Diigo, and the first 10 Tweets you Favorite each day will be added to your Diigo library.