"bottom of a sleeve," mid-14c., cuffe "hand covering, mitten, glove," perhaps somehow from Medieval Latin cuffia "head covering," of uncertain origin. Sense of "band around the sleeve" is first attested 1520s; sense of "hem of trousers" is 1911. Off the cuff "extemporaneously" is 1938 American English colloquial, suggesting an actor or speaker reading from notes jotted on his shirt sleeves rather than learned lines. Cuff links is from 1897.
"to put a cuff on," 1690s, from cuff (n.). Related: Cuffed; cuffing.
"hit," 1520s, of unknown origin, perhaps from Swedish kuffa "to thrust, push." Related: Cuffed; cuffing. As a noun from 1560s.
cuff (kŭf)
n.
A bandlike structure encircling a part.
An inflatable band, usually wrapped around the upper arm, that is used along with a sphygmomanometer in measuring arterial blood pressure.
off the cuff, on the cuff, put the cuff on someone
[1920s+; first two senses fr the notion of keeping track of debts by notations on the cuff of one's shirt]