noun (n)

• a hostile meeting of opposing military forces in the course of a war(noun.act)

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

  Synonym:
  battle, conflict, fight
  

  source: wordnet30
• a meeting arranged in advance(noun.group)

  Synonym:
  appointment, date
  

  source: wordnet30
• a mutual promise to marry(noun.communication)

  Synonym:
  betrothal, troth
  

  source: wordnet30
• the act of giving someone a job(noun.act)

  Synonym:
  employment
  

  source: wordnet30
• employment for performers or performing groups that lasts for a limited period of time(noun.act)

  Synonym:
  booking
  

  source: wordnet30
• contact by fitting together(noun.event)

  Example:
  The engagement of the clutch.
  

  Synonym:
  interlocking, mesh, meshing
  

  source: wordnet30
• the act of sharing in the activities of a group(noun.act)

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

  Synonym:
  involution, involvement, participation
  Antonym:
  non-engagement, non-involvement, nonparticipation
  

  source: wordnet30
• The act of engaging, pledging, enlisting, occupying, or entering into contest.(noun)

  source: webster1913