"Chasing Life" (9 p.m., ABC Family): In the emotional new drama, an ambitious Boston journalist (Italia Ricci) discovers she has cancer just as her career and a new romance are blossoming. Still, she resolves to live life to the fullest.
"Royal Pains" (9 p.m., USA): The doctor is back in. As the sixth season launches, Hank (Mark Feuerstein) is returning to the Hamptons after traveling the world for a while. Turns out, much has happened during his absence.
Also on Tuesday: