the act of engaging or the state of being engaged.

an appointment or arrangement

a business engagement.

betrothal

They announced their engagement.

a pledge; an obligation or agreement

All his time seems to be taken up with social engagements.

employment, or a period or post of employment, esp. in the performing arts

Her engagement at the nightclub will last five weeks.

an encounter, conflict, or battle

We have had two very costly engagements with the enemy this week alone.

Mechanics . the act or state of interlocking.

engagements, Commerce . financial obligations.

noun

break-up , disengagement , surrender

noun

assurance , betrothal , betrothing , betrothment , bond , commitment , compact , contract , espousal , match , oath , obligation , pact , plight , promise , troth , undertaking , vow , word , appointment , arrangement , assignation , blind date , commission , date , errand , get-together , gig , going out , interview , invitation , meet , seeing one , stint , tryst , visit , action , combat , conflict , confrontation , contest , encounter , fight , fray , skirmish , covenant , guarantee , guaranty , pledge , solemn word , warrant , word of honor , rendezvous , hire , battle , affair , affiance , booking , employment , involvement , job , meeting , stipulation