Between 1959 and 1967, Dayan was in a relationship with Greek Cypriot theatre and film director, writer, producer, and actor Michael Cacoyannis and lived in Greece.[4] Dayan first made a name for herself as an author and newspaper columnist, writing columns for Yedioth Ahronoth, Ma'ariv, Al HaMishmar, and Davar.[citation needed] In 1992, Dayan was elected to the Knesset on the Labor Party list and served as chairwoman of the Committee on the Status of Women.Re-elected in 1996 and 1999 (as a member of One Israel, an alliance of Labor, Meimad and Gesher), Dayan became chairwoman of the Committee on the Status of Women for a second time in 1999.Dayan headed the Meretz list in the Tel Aviv municipal elections in 2004, with the party winning 5 out of 31 Seats on council and joining Ron Huldai's coalition.