'quickly-wrapped' originates from Modern English, formed by combining the adverb 'quickly' (from 'quick' + suffix '-ly') and the past participle 'wrapped' of the verb 'wrap'.

'quickly' derives from the adjective 'quick' (Old English 'cwic' meaning 'alive, moving fast') with the adverbial suffix '-ly'; 'wrap' comes from Old English 'wrappan' (or Middle English 'wrappen'), and the compound 'quickly-wrapped' is a modern, descriptive compound formed by joining these elements.

Initially the parts meant 'fast' (quick/quickly) and 'to cover or enclose' (wrap/wrapped); combined as a compound, the meaning remained literal — 'covered quickly' — though it has also taken a connotation of 'done with little care' in some contexts.