Old English cenlice "boldly;" see keen (adj.) + -ly (2). Meaning "incisively, with intensity, acutely" is from c. 1200; that of "cuttingly" is from 1590s.
he was keenly aware of his own shortcomings
keelboat
keeled
keelhaul
keelson
keen
keenly
keenness
keep
keepable
keep-away
keeper
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