Is there any application that could work to check/update Twitter timeline when Twitter is blocked at work? This is extremely important for I work via Twitter sometimes.
Depending on your mobile phone you can use a Twitter Client or the Twitter SMS feature to get new tweets on your phone and tweet yourself.
If Twitter is indeed necessary for your work you should file a report for your superior about the uses and profits of Twitter @ work.
Bypassing restrictions set by your companies administration can get you fired.
This Twithive site looks like it might let you do that.
(Though twitter.com may be blocked, sites using the API should probably still work)
It won't work. Tweetdeck and the like also don't work. But thanks anyway!