TinyTwitter
TinyTwitter is a Java based application for mobile devices. It should work on any phone that supports the J2ME platform.
As described on the website,
Tiny Twitter is just what you are looking for and it will work on ANY Java enabled phone (that’s a bunch & includes the Blackberry) and ANY Windows Mobile Pocket PC or Smartphone

Traffic rankings are sourced from multiple sources, if available, for the Twitter application. This includes Alexa, and Compete rankings.
January 7th, 2009 at 9:25 PM
used to use this a lot on my BlackBerry, but recently switched over to twitterberry. I got sick of the “could not connect” message every time I tried to update or send a tweet. Although if I sent the same request again it would work. Stupid. Should be easy to fix, but I'm no programmer.
August 26th, 2009 at 2:08 AM
I switched to http://www.snaptu.com after the annoying ‘cant connect’ messages
August 26th, 2009 at 10:00 AM
RT @TwitdomUpdates: Tiny Twitter – Java based Twitter client for mobile devices http://twitdom.com/tinytwitter/
August 26th, 2009 at 4:04 PM
[...] link is being shared on Twitter right now. @sandy3010, an influential author, said RT @TwitdomUpdates: [...]