According to a release from the NY Times, the site’s RSS feeds generated 5.9-million page views in March of 2005. That is up a vertigo-inducing 342% year-over-year, and 39% in consecutive months. At the current growth rate NY Times RSS traffic is doubling every 4 months.
To put it in historical context, 5.9-million views a month is roughly what the main NY Times.com site obtained overall in early 1997. That might or might not seem impressive, but assuming some semblance of the current growth remains intact, then you could expect RSS traffic to be a meaningful percentage of overall NY Times.com traffic as soon as early as 2007.