'Find Scarlett. It's not complicated. I don't know where she is. Find her.' It turns out he's talking about the actress Scarlett Johansson - who, at the time of the interview, is in London to attend the Bafta ceremony. Why he wants me to find her is never quite explained. She's one actress Kilmer hasn't been 'linked' to, although he has been linked to all sorts of other women, often at the height of their celebrity - his ex-wife Joanne Whalley, Michelle Pfeiffer, Daryl Hannah, Drew Barrymore, Elisabeth Shue, Cindy Crawford, and, of course, Cher, who saw him in a play when he was 24, fancied him, and anointed him as one of her toyboys. 'I never cultivated any fame through who I knew,' he tells me.