Plume is a feature-rich Twitter client. Available free with ads or $4.99 without.
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Pros
Pro Multiple account support
Allows easy switching of accounts withing the app.
Pro Color-coding
Allows color-coded lists and users.
Pro Mute functions
Hides a persons tweets from timeline without unfollowing them. Can also mute words and applications.
Pro In-app browser
Plume has a built-in browser so you can view linked content without having to leave the application.
Pro Real-time notifications
At the expense of more battery consumption you can tell Plume to "livestream" updates so you get notifications of events as they happen.
Pro Photo & video previews in timeline
Embeds photo and video previews in timeline.
Pro Multiple picture host support
You can upload your picture to a selection of hosts. Among them Twitpic, Plixi, Posterous, and MyPict.me.
Pro In-line image viewer
Embeds images in timeline.
Pro Tablet support
Same application works on phones and tablets.
Cons
Con Plagued with bugs around posting and retweeting
Con Intrusive ads
You can also pay $4.99 for Plume Premium that removes the ads.