Neatly is among the first third-party Twitter clients for BlackBerry 10. Though some of the features available on the core Twitter app aren't there, such as Contacts and Hub integration, there are some cool tricks up Neatly's sleeve. For one, it generates ratings between you and other Twitter users based on overlapping interest. This should give you a general sense of compatibility and who to follow. Neatly also uses something called Smart Lists, which attempts to separate the wheat from the chaff in your timeline.
You can privately set tweets as favorites, and also temporarily mute people you'd rather not unfollow, but would like to shut up for just a little bit. Best of all, there's multiple account support - a must have for real social media busybodies.