Learn That Word

Synonyms for Engagement (same or very similar meaning)

WordNet sense 1 (a meeting arranged in advance):
appointment, date

WordNet sense 2 (contact by fitting together):
interlocking, mesh, meshing

WordNet sense 3 (a mutual promise to marry):
betrothal, troth

WordNet sense 4 (the act of sharing in the activities of a group):
involution, involvement, participation

WordNet sense 5 (the act of giving someone a job):
employment

WordNet sense 6 (a hostile meeting of opposing military forces in the course of a war):
battle, conflict, fight, conflict

WordNet sense 7 (employment for performers or performing groups that lasts for a limited period of time):
booking


From the ODE community, based on WordNetadd/edit