"Tom Cruise's attorney said he is going to sue anyone who claims he is gay. In a related story, Ricky Martin's attorney has been hospitalized for exhaustion"

In this quote, Conan O'Brien is making a joke about the reports surrounding Tom Cruise's sexuality. The very first part of the quote points out that Cruise's attorney is threatening to sue anybody who recommends that he is gay. This is likely a referral to the persistent reports and speculation about Cruise's sexual preference in the media. The 2nd part of the quote points out that Ricky Martin's attorney has been hospitalized for fatigue, indicating that he has been working relentlessly to defend Martin versus comparable reports. O'Brien is utilizing humor to talk about the absurdity of the situation and the intense scrutiny that celebrities deal with in regards to their individual lives.