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If long yearned for a function that would "silence tweets for 60 minutes."

Sometimes I'm really just not interested in the conference you're attending right nos; but generally I'm pretty pleased to follow you.

Some Twitter clients have keyword filtering, including Tweetie for Mac.

Brizzly has a "mute" feature.

Promoted tweets appear only in search, not your personal stream.

You mean "cue", but "queue" could work too (in some sense).