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Update: Quotably has been shut down by its author Ben Tucker (because of technical reasons), and he says that it may be relaunched in time with a different focus.
Quotably is a newly-launched site that shows you Twitter conversations in a threaded format. Messages are reformatted Twitter messages into threaded conversations, making it effortless to follow actual discussions that are occurring on Twitter.

Quotably Homepage
Any regular Twitter user would know that having back-and-forth conversations is hard on Twitter website or any other third-party application/website. I have lost count of the number of times where somebody would reply vaguely, assuming that I would understand. Then, I’d have to ask to clarify. Coupled with a 140 character limit, this makes it hard to have any meaningful conversations. If this has happened to you, Quotably is for you (I’ve already switched one of my start pages to Quotably, from Twitter).

My Quotably profile
Quotably is easy to use, and requires no registration or verification. I would have liked a verification process (by tweeting a cryptic string etc.), but the service is otherwise nice to use. If you are an avid Twitterer, Quotably is good add to your arsenal of Twitter tools.
The only problem that I see with Quotably is that it is not smart enough to recognize related tweets. If @username is added, the tweet automatically gets classified as a reply, even if it is not relevant enough. But then, that is to be expected of a computer program. Only a human can accurately classify tweets.
Update: RSS feeds are available for any Twitter user by adding ‘.rss’ to the end of the Quotably user URL. Example: quotably.com/username.rss where username is any user’s Twitter username.
PS: Follow me on Twitter, or any of the other popular social network/bookmark sites. Here is my Twitter profile on Quotably. More details and links to profile are on my about page.
Thanks for the notice – I’ll try it out.
@Binny V A: Welcome, and do try it out – a refreshing break from the ‘What did you mean?’ reply tweets that I (and many others) have to ask.
Looks nice, its picked up pretty fast and lot of people are covering it, will check it out soon
This is good. sometime it is difficult to follow conversation in between so many tweets.
@Madhur: My point exactly. I’ve lost count of the number of times I ask back what someone was referring to. Though Quotably is not smart enough to categorize related posts (author says it might be in future), the classification based on time is still better than what we have (which is nothing)
Sumesh,
Quotably is dead. You may want to update this post.
@Eleena: Thanks for letting me know, I’ve updated the post.