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[MortenS]

Whiptail lizards (genus Cnemidophorus) reproduce in the way you describe, lazo.alex

While the reproduction is asexual, they still require sexual stimulation for high fecundity.
One female assumes the male role, and mounts the other female that is about to lay eggs.

If kept in isolation, the asexual females have a lesser fecundity than those that get to act out courtship, presumably because of lesser hormone levels when isolated.

The origin of these asexual lines of reptiles are due to hybridization between two species.