lock-up n.

c. 1300, "to fasten with a lock, shut or confine with a lock." The sense is narrowed from that of Old English lucan "to lock, to close" (class II strong verb; past tense leac, past participle locen), from the same verbal root that yielded lock (n.1). The form is from the noun (perhaps reinforced by Old Norse loka); the old original strong verb survived as dialectal louk, and the strong past participle locken lingered a while, as in Middle English loken love "hidden love, clandestine love" (early 14c.).

The Old English verb is cognate with Old Frisian luka "to close," Old Saxon lukan, Old High German luhhan, Old Norse luka, Gothic galukan. Meaning "to fasten parts together" is from late 14c., originally of armor; of persons, "to embrace closely," from mid-14c. Related: Locked; locking. Locked "securely established" is from early 15c. To lock (someone) in "shut in a place" is from c. 1400. Slang lock horns "fight" is from 1839.

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.