Not your regular twitter feed

You haven't specified their Twitter feed. Do you know the Twitter username?

I couldn't tell by looking at the site, AdBlock stopped it from loading. But not to worry, I fired up a different browser and saw the Twitter timeline.

Don't just ID it for me I already know what it is.

So you already know this is a Wordpress plug-in called Rotating Tweets?

You don't give much information about your current website. I don't suppose you are using Wordpress? Does your site use PHP, JQuery? Are you savvy with Javascript? Are you looking for a client-side only solution?

If you want to roll your own Tweet scroller, you need to do three things:

1. Authenticate with the Twitter API
2. Get the tweet data - e.g. using Twitter's REST API to get the data in JSON format.
3. Display the tweets on the page - Twitter does have Display Requirements that are meant to be followed when using their API.

A nice way of doing it would be to authenticate, fetch the tweet at appropriate intervals and store the data server-side, then either pre-render the tweets on the page or have your JS tweet scroller request them from your server. This minimises the impact on Twitter and provides a robust feed to your visitors.

Twitter restricted access to their API last year. thinkthrive.com uses a Wordpress plugin (written in PHP) that handles the Twitter authorisation (via OAuth) in order to get tweet data, then use JS and CSS to display them. However, the resulting tweet display does not meet Twitter's Display Requirements - the risk, however slim, is Twitter might block access for non-compliance.

If you're limited to copy/paste coding, then Twitter's Embedded Timeline widget might be your easiest option. This will get your tweets on the page with one line of HTML, however you won't get them styled as per your design or the scrolling effect functionality.

Embeddable timelines make it easy to syndicate any public Twitter timeline to your website with one line of code. Create an embedded timeline from your widgets settings page on twitter.com, or choose “Embed this…” from the options menu on profile, search and collection pages.

With a bit more work, you could tweak a JS-only component like Jason Mayes' Twitter-Post-Fetcher

Take a look at the code, half-way down the JS file are detailed instructions.