What is the meaning of engagement?

noun

• A hostile meeting of opposing military forces in the course of a war.
  • usage: "Grant won a decisive victory in the battle of Chickamauga"; "he lost his romantic ideas about war when he got into a real engagement"
  • synonyms: battle, conflict, fight
• A meeting arranged in advance.
  • usage: "she asked how to avoid kissing at the end of a date"
  • synonyms: date, appointment
• A mutual promise to marry.
  • synonyms: betrothal, troth
• The act of giving someone a job.
  • synonyms: employment
• Employment for performers or performing groups that lasts for a limited period of time.
  • usage: "the play had bookings throughout the summer"
  • synonyms: booking
• Contact by fitting together.
  • usage: "the engagement of the clutch"; "the meshing of gears"
  • synonyms: mesh, meshing, interlocking
• The act of sharing in the activities of a group.
  • usage: "the teacher tried to increase his students' engagement in class activities"
  • synonyms: participation, involvement, involution