cuff (n.) Look up cuff at Dictionary.com
"bottom of a sleeve," mid-14c., cuffe "hand covering, mitten, glove," perhaps somehow from Medieval Latin cuffia "head covering," which is 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.
cuff (v.2) Look up cuff at Dictionary.com
"hit," 1520s, of unknown origin, perhaps from Swedish kuffa "to thrust, push." Related: Cuffed; cuffing. As a noun from 1560s.
cuff (v.1) Look up cuff at Dictionary.com
"to put a cuff on," 1690s, from cuff (n.). Related: Cuffed; cuffing.