I have just discovered an application called www.supertweet.net to simplify device integration with Twitter.
This application allows the use of the original programmatic Twitter interface to the current oAuth interface by means of a proxy server.
This makes it far simpler to interface TI SimpleLink Wi-Fi CC3000 devices to Twitter.
All you need to do is provide the now pseudo twitter credentials and the more complex oAuth authentication is done on your behalf by the supertweet proxy server.
From the Twitter end everything seems normal and from your device it appears that the original interface still exists for the exception that the target is www.supertweet.net
A nice feature is that these pseudo twitter password can be totally different your original on.