After more than 25 years as a talent agent, Nick Styne is leaving CAA today to start a new career chapter. Styne is forming a management/production startup that he has yet to name. He is putting the pieces together on the new company, and it isn’t yet clear which of his clients will go with him. Styne is known for core clients like Cameron Diaz, Luke Wilson and Jennifer Jason Leigh, and for a knack for spotting, signing and developing young talent that over the years…