dust-up (n.)

"fine, dry particles of earth or other matter so light that they can be raised and carried by the wind," Old English dust, from Proto-Germanic *dunstaz (source also of Old High German tunst "storm, breath," German Dunst "mist, vapor," Danish dyst "milldust," Dutch duist), from PIE *dheu- (1) "dust, smoke, vapor" (source also of Sanskrit dhu- "shake," Latin fumus "smoke").

Meaning "elementary substance of the human body, that to which living matter decays" was in Old English, hence, figuratively, "mortal life." Sense of "a collection of powdered matter in the air" is from 1570s. Dust-cover "protective covering to keep dust off" is by 1852; dust-jacket "detachable paper cover of a book" is from 1927.

To kick up the (or a) dust "cause an uproar" is from 1753, but the figurative use of dust in reference to "confusion, disturbance" is from 1560s, and compare Middle English make powder fly "cause a disturbance or uproar" (mid-15c.). For bite the dust see bite (v.).

Old English up, uppe, from Proto-Germanic *upp- "up" (source also of Old Frisian, Old Saxon up "up, upward," Old Norse upp; Danish, Dutch op; Old High German uf, German auf "up"; Gothic iup "up, upward," uf "on, upon, under;" Old High German oba, German ob "over, above, on, upon"), from PIE root *upo "under," also "up from under," hence also "over."

As a preposition, "to a higher place" from c. 1500; also "along, through" (1510s), "toward" (1590s). Often used elliptically for go up, come up, rise up, etc. Up the river "in jail" first recorded 1891, originally in reference to Sing Sing, which is up the Hudson from New York City. To drive someone up the wall (1951) is from the notion of the behavior of lunatics or caged animals. Insulting retort up yours (scil. ass) is attested by late 19c.