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Definition of disengagement : 1. Freedom from engrossing occupation; leisure.
2. The act of disengaging or setting free, or the state of being disengaged.

Synonyms:

insulation, insularism, assemble, freeing, pullout, severance, insularity, fallback, withdrawal, breakup, uncoupling

cut, split, alienation, break, segregation, disintegration, disunity, disarticulation, part, disassociation, partition, cleavage, dissection, detachment, amputation, division, dissociation, fissure, incision, rent, divorce, disassembly, separation, bisection, disconnection, slice

leisure, ease, rest, liberty

freedom, liberation, emancipation, deliverance, release, toleration, reprieve

Usage examples:

• Speaking of the sixteenth century, he says: " What it wanted was taste, if by taste we understand choice clean and perfect, the disengagement of the elements of the beautiful." - "Essays Æsthetical", George Calvert.
• The plan for the disengagement of the right foot, painfully rigid and cold, was perfect in theory. - "Tropic Days", E. J. Banfield.
• Little was thought of but the disengagement of the Company from their debts in England, and to prevent the servants abroad from drawing upon them, so as that body might be enabled, without exciting clamors here, to afford the contribution that was demanded. - "The Works of the Right Honourable Edmund Burke, Vol. VIII. (of 12)", Edmund Burke.