c. 1300, "dwelling inland or upland," from up (adv.). Meaning "going up" is from 1784. From 1815 as "excited, exhilarated, happy," hence "enthusiastic, optimistic." Up-and-coming "promising" is from 1848. Musical up-tempo (adj.) is recorded from 1948.
"extortionate rent, rent raised to the highest possible limit, rent greater than any tenant can be expected to pay," especially of land-rents in Ireland, c. 1600, from rent (n.) + rack (v.1) in the otherwise obsolete sense of "extort or obtain by rapacity, raise (rent, etc.) above a fair level" (1550s).