What does it mean to dream about lust?
Lust in a dream usually carries a strong pull of desire, and what or whom it reached for may matter less than the wanting itself and what it reminds you of.
Four ways to read it
Each reading below comes from a named tradition and a cited source, so you can see where it came from and decide what fits your dream.
Freud
Freud would read lust as desire in its plainest form, often standing for a longing the waking self keeps in check. He held that such wanting in sleep can take an obvious object or stand in for another wish entirely. The pull lets a craving be felt without consequence.
After Freud, The Interpretation of Dreams (Brill trans., 1913), public domain.Jung
Jung would see lust as life-energy seeking expression, sometimes pointing past its object toward a hunger for vitality itself. He linked strong desire to the pull toward an inner counterpart as much as an outer one. The wanting can mark an appetite for living more fully.
Jungian concept (our summary).Modern
Continuity research ties dream desire to waking longing and the bonds or wants that hold our attention. Some accounts note that strong feeling carries easily into sleep. The craving is worth reading against what you find yourself wanting awake.
Continuity hypothesis (our summary).Mythological
Myth gave desire its gods and its dangers, Aphrodite's pull that no one could refuse, the longing that launched wars and undid kings. Lust was treated as a force that could create or destroy. Across cultures it was honored as sacred and feared as a power that overran reason.
Rosmerta Publishing editorial synthesis (after Bulfinch; Brewer).