Twydget is another, but the best Twitter Cydget client that allows you to quickly and easily post a status update, view your friends status updates, @replies, and many-more cool features like you can changed the view a Standard view (which is same as what you see on your browser on PC/MAC) and Mobile view which is a mobile version.
Another cool but needed feature is the ability for Twydget to instantly store your tweets temporarily so that you don’t lose an important characters. Twydget also includes a LIVE 140 character counter which is really cool. Cut copypaste feature also works here, you can retweet with this, which is amazing.
Actually Twitter is ported into cydget platform in form of Twydget,i.e when you open twitter.com from your mobile Safari on your iPhone/iTouch, the same experience you will get with Twydget.
The state of each tweet is automatically logged (locally) and restored if the device goes back to sleep.
Twydget is available on cydia for free.
Also, Twydget runs almost entirely client-side (right from your device), instead of relying on third party web servers that may not always be around and available. Not to mention that they might be storing your user-name and password. By default, Twydget allows you to configure your user-name and password on the fly, right from the lockscreen. Your username and password are temporarily stored locally on your device, however, a simple respring or reboot will clear these settings.
You can permanently set the username and password, and even show your lock background image by editing (via SSH/FTP or with iPhoneBrowser) /System/Library/LockCydgets/Twydget.cydget/settings.js
Here are the steps to configure Settings.js with iPhoneBrowser:
Note: Before following these steps make sure you’ve iPhoneBrowser installed on your PC to access iPhone’s files, you can also use Diskaid to access iPhone’s files.

var username = “”;
var password = “”;

var username = “torqueabhi”;
var password = “xxxxxx”;
What’s so hard to just start your favorite Twitter app from the Springboard?
you mean aside from the fact that cydgets are run from the lockscreen instead of the springboard? IE: 1 click boom twitter, instead of 1 click, 1 slide, couple swipes, oh theres my twitter app, load, wait, . . . yeah thats much easier