Sneak Peek: Miley Cyrus guest-stars on "Two and a Half Men" Walden (Ashton Kutcher, right) and Missi (Miley Cyrus, left) on "Two and a Half Men," airing Oct. 18, 2012. / CBS Miley Cyrus kicks off her two-episode stint on "Two and a Half Men" this week, and CBS has released a sneak peek of her on the show. Cyrus plays Missi, the daughter of one of Walden's (Ashton Kutcher) friends, who comes to town for a visit and strikes up a relationship with Jake (Angus T. Jones) when he returns from the Army. In the clip below, Missi introduces herself to Alan (Jon Cryer) and explains what her nickname is short for. The episode will air Thursday at 8:30 p.m.