on the make

prepositional phrase2

1. •
   (informal) Actively seeking a romantic encounter or relationship.

   • Harry (Matthew Cowles) and Tim (Timothy Meyers) are an inseparable pair of macho punks always on the make for an easy sexual score. — 1973
2. •
   (informal) Actively seeking an opportunity for self-advancement; eager to ingratiate oneself to others in order to secure some advantage.

   • In a city where everybody was "hustling," everybody, as they phrased it, "on the make," why should anyone take a second glance at Peter Gudge? — 1920