What does ENGAGEMENT mean?

noun

1. a hostile meeting of opposing military forces in the course of a war“Grant won a decisive victory in the battle of Chickamauga”
2. a meeting arranged in advance“she asked how to avoid kissing at the end of a date”
3. a mutual promise to marry
4. the act of giving someone a job
5. employment for performers or performing groups that lasts for a limited period of time“the play had bookings throughout the summer”
6. contact by fitting together“the engagement of the clutch”
7. the act of sharing in the activities of a group“the teacher tried to increase his students' engagement in class activities”