"In simple English, you can no longer subscribe to any of the Twitter streams - be it search results, timelines of users, their favorites or even Twitter Lists - in your RSS Reader.
That said, there is any easy workaround."
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Provides a bit of background on RSS and why you should use it and lots on using Feedly as your RSS reader. Note, at this time, Feedly doesn't work with Internet Explorer, but is compatible with Firefox, Chrome and Safari.