ThinkUp
ThinkUp is a free, open source web application that captures your posts, tweets, replies, retweets, friends, followers and links on social networks like Twitter and Facebook. With ThinkUp, you can store your social activity in a database that you control, making it easy to search, sort, analyze, publish and display activity from your network. All you need is a web server that can run a PHP application.
Update: Great technical and philosophical introductions to ThinkUp from Gina Trapani and Anil Dash. Also of note, the ThinkUp Launcher which gets the app up and running on Amazon EC2.