Definition of "Engagement" :

noun: employment for performers or performing groups that lasts for a limited period of time

noun: a hostile meeting of opposing military forces in the course of a war

"He lost his romantic ideas about war when he got into a real engagement."

noun: the act of giving someone a job

noun: the act of sharing in the activities of a group

"The teacher tried to increase his students' engagement in class activities."

noun: a mutual promise to marry

noun: contact by fitting together

"The engagement of the clutch."

noun: a meeting arranged in advance