The moon's most famous dream appearance is in Genesis, where the young Joseph dreams that the sun, the moon and eleven stars bow down to him, and his father interprets on the spot, sun and moon as father and mother, the stars as brothers. The passage preserved, inside scripture itself, the old handbook method of reading the heavenly bodies as the great persons of the dreamer's life, and the Greek interpreters worked the same equivalence, the luminaries standing for parents and rulers, their brightening and darkening for those persons' fortunes.
Astrology systematised the correspondence: in the Hellenistic inheritance the moon governs the changeable side of life, tides, months, moods, the body's rhythms, and its monthly death and return made it everywhere the marker of cycle, waxing to fullness and waning to dark without ever being lost. The lunar calendars of Judaism, Islam and East Asia keep sacred time by it still.
The modern psychologies inherited a moon already saturated. The Jungian tradition reads it toward the anima, the feminine and the reflective, borrowed light against the sun's source light, and toward everything periodic in the psyche; popular dictionaries compress this to intuition, emotion and the hidden. These are readings within traditions, and the moon's phase in the dream, full, new, eclipsed or wrong, is the detail all of them ask for before venturing anything.