PARIS: [sleep talking] I did not have sexual relations with that woman.
Paris refers to the Clinton-Lewinsky sex scandal, involving then-President Bill Clinton (born William Blythe III in 1946) and 24-year-old White House intern Monica Lewinsky (born 1973), which took place in 1998. Their sexual relationship lasted between 1995 and 1997.
Clinton ended a televised speech in late January 1998 with the statement that he “did not have sexual relations with that woman, Ms. Lewinsky”. Further investigation led to charges of perjury and to the impeachment of Bill Clinton in 1998 by the US House of Representatives. He was subsequently acquitted on all impeachment charges of perjury and obstruction of justice in a US. Senate trial.
Harry Thomason worked as an image consultant during the scandal, ending up testifying before the Lewinsky Grand Jury. This seems to be why Paris mentions him during her dream argument – she appears to be having an argument about the Lewinsky scandal, although whether she is supporting either party in the case is unclear.