Definition of engagement

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engaging >

en·gage·ment    (n-gjmnt) KEY 

NOUN:

1. The act of engaging or the state of being engaged.
2. Betrothal.
3. Something that serves to engage; a pledge.
4. A promise or agreement to be at a particular place at a particular time.
5. 1. Employment, especially for a specified time.
   2. A specific, often limited, period of employment.
6. A hostile encounter; a battle.
7. The condition of being in gear.

SYNONYMS:
engagement, appointment, assignation, date¹, rendezvous, tryst

These nouns denote a commitment to appear at a certain time and place: a business engagement; a dental appointment; a secret assignation; a date to play tennis; a rendezvous of agents at the border; a lovers' tryst.