Despite her busy schedule, Claire always makes time for romance.
She has been linked to Andrew Dorff, Matt Damon, Hugh Dancy (pictured) and musician Ben Lee.
Her most high-profile romance was with actor Billy Crudup, from 2003 until 2006. Remember they got together while Mary-Louise Parker was pregnant with Billys baby? Ouch. (Emmanuel Dunand / AFP / Getty Images)
