The New York Times reports that the popular web site YouTube is offering a small slice of its service to Verizon cell phone customers through a $15-a-month subscription service called VCast. Users of the service will be limited to an unspecified amount of videos selected and approved by the two companies. This deal marks the mobile-phone debut of YouTube. The two companies announced that the service will be available next month, however, the two companies did not discuss the financial specifics of the deal, save to say that Verizon has “exclusive rights to distribute YouTube videos for a limited amount of time.” …