Article continues below advertisementCharlie Sheen is spilling some surprising anecdotes in his new memoir, The Book of Sheen. In the book, the actor recounts an intriguing encounter with former President Bill Clinton during the late 1980s, when Clinton was still the governor of Arkansas.While shooting the film Three for the Road in 1987 alongside Alan Ruck and Kerri Green, Sheen and his costars received an invitation to the governor's mansion for a photo op. Sheen brought along his girlfriend at the time, Dolly Fox, who apparently caught Clinton's eye.