The twitter api allows to get a feed per author name, so if you have a list of users, that's pretty easy. All you need to do is use a basic http client lib in your prefered language to do the http query and then some basic html css skills to show the result there :)

Here: http://www.floodgap.com/software/ttytter/

It's a perl script that can hook into Twitter stream API. Sign up for an account, create an access token for ttytter, start subscribing to politicians, and it will suck down every tweet they make in realtime as they make them. If they make a tweet and delete it 30 seconds later, you'll have captured it. That is why whining about deletability of tweets is pointless, anybody with entry-level Linux skills can monitor thousands of politicians.

How exciting!! lots to learn :)