In the mid 1980s, when this commercial was running, Jeane Dixon was probably one of the more well-known astrologer/psychics in the United States. She had a syndicated newspaper astrology column that my sisters halfheartedly read and would get a lot of press for her predictions. She was also (in)famous for her relationship with Nancy Reagan.
Dixon, not content to use papers, TV and radio to reach people, decided to use the telephone and started a horoscope hotline.
I am pretty sure she was not the first person to use phones to do this, but these are the first ones I remember seeing advertised on TV. Afterwards I would see a steady stream of ads for TV and phone psychics that continue to this day.