This paper explores the collective behavior of chiral active particles, which can self-propel and rotate. In the absence of alignment interactions, chiral self-propulsion can induce vortex patterns in velocity fields, but these patterns are not permanent and do not generate global vorticity. The authors combine theoretical arguments and computer simulations to predict a new class of collective behavior: self-reverting vortices. These vortices emerge spontaneously due to the interplay between attractive interactions and chirality. Depending on the parameters, the vortices can either have constant vorticity or oscillate periodically in time. The results suggest that this phenomenon can guide future experiments to realize customized collective phenomena, such as spontaneously rotating gears and patterns with self-reverting order. The study also provides insights into the link between chiral active systems and materials with odd properties, such as crystals with odd elasticity and liquids with odd viscosity.This paper explores the collective behavior of chiral active particles, which can self-propel and rotate. In the absence of alignment interactions, chiral self-propulsion can induce vortex patterns in velocity fields, but these patterns are not permanent and do not generate global vorticity. The authors combine theoretical arguments and computer simulations to predict a new class of collective behavior: self-reverting vortices. These vortices emerge spontaneously due to the interplay between attractive interactions and chirality. Depending on the parameters, the vortices can either have constant vorticity or oscillate periodically in time. The results suggest that this phenomenon can guide future experiments to realize customized collective phenomena, such as spontaneously rotating gears and patterns with self-reverting order. The study also provides insights into the link between chiral active systems and materials with odd properties, such as crystals with odd elasticity and liquids with odd viscosity.