No, the characters aren't going out and never have. They are uncle/niece. That would be wrong.
The actors, however, were dating for about a year but they broke up recently. So Peter and Claire were never going out on the show, but Milo Ventimiglia and Hayden Panettiere have broken up.
posted over a year ago
bah, who cares. i want peter and claire together. PETRELLICEST!!