UPDATED with statement from accuser’s attorney: CNN contributor Ryan Lizza has been suspended from the cable news network shortly after The New Yorker gave him the axe for what the magazine called “improper sexual conduct.” “We have just learned of The New Yorker’s decision,” a CNN spokesperson told Deadline. “Ryan Lizza will not appear on CNN while we look into this matter.” Announcing it was parting ways with Lizza, New Yorker said: “The New Yorker recently learned that…