reel (n.1) Look up reel at Dictionary.com
"frame turning on an axis," late Old English hreol "reel for winding thread," from Proto-Germanic *khrekhulaz; probably related to hrægel "garment," and Old Norse hræll "spindle." Specifically of the fishing rod attachment from 1726; of a film projector apparatus from 1896. The verb meaning "to wind on a reel" is recorded from late 14c., from the noun. To reel off "rattle off without pause or effort" is from 1837. Reel-to-reel type of tape deck is attested from 1958.
reel (n.2) Look up reel at Dictionary.com
"lively Highland dance," 1580s, probably a special use of the verb sense of reel (n.1). Applied to the music for such a dance from 1590s.
reel (v.) Look up reel at Dictionary.com
"to whirl around," c.1300, probably from reel (n.1), on notion of "spinning." Of the mind, from 1796.