Etymology
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off-key (adv.)

by 1911, of music or singing, "not having the correct tone or pitch, out of tune," from off (prep.) + musical sense of key (n.1). Figurative sense "not in accordance with what is appropriate in the circumstances" is by 1943.

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cut-off (n.)

also cutoff, 1640s, "act of cutting off," also "portion cut off," from verbal phrase cut off (see cut (v.) + off (adv.)). Sense of "new and shorter channel formed on a river" (especially the Mississippi) is from 1773; of road that cut off or shorten a route, from 1806; of clothing (adj.), from 1840. Cutoffs "jeans or other long pants trimmed down to be shorts" is by 1967.

The verbal phrase is attested from late 14c. as "detach by cutting;" from 1570s as "exclude from access" and "bring to an abrupt end;" and from 1590s as "intercept, stop the flow or passage of."

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kick-off (n.)
also kickoff, kick off, 1857, "first kick in a football match," from kick (v.) + off (adv.). The verbal phrase also is from 1857. Figurative sense of "start, beginning event" is from 1875.
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off-duty (adj.)

"not employed or occupied with one's normal work," 1743, from off (prep.) + duty.

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rip-off (n.)

"an act of fraud, a swindle," 1969, from verbal phrase rip off "to steal or rob" (c. 1967) in African-American vernacular, from rip (v.) + off (adv.). Rip was prison slang for "to steal" since 1904, and was also used in this sense in 12c. The specific meaning "an exploitative imitation" is from 1971, also "a plagiarism." Related: Ripped-off.

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turn-off (n.)
"something that dampens one's spirits" recorded by 1971 (said to have been in use since 1968), from verbal phrase turn off "stop the flow of" (1850), from turn (v.) + off (adv.). Turn-off (n.) as "place where one road diverges from another" is from 1881.
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off-scouring (n.)

"rejected matter, that which is vile or despised," 1520s; literally "that which is scoured off;" from off (prep.) + verbal noun from scour (v.1) "cleanse by hard rubbing."

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off-rhyme (n.)

"partial or near rhyme," 1938, from off (prep.) + rhyme (n.).

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send-off (n.)

"a farewell" (especially a funeral), 1872 ("Mark Twain"), from the verbal phrase send off "cause to be sent" (attested by 1660s), from send (v.) + off (adv.). Earlier a send-off was "a start," as on a journey or race (1841), hence "a display of good-will on the occasion of such."

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