quit-rent (n.)

c. 1200, "excused, exempt, free, clear" (of debt, obligation, penalty, etc.), from Old French quite, quitte "free, clear, entire, at liberty; discharged; unmarried," and directly from Medieval Latin quitus, quittus, from Latin quietus "free" (in Medieval Latin "free from war, debts, etc."), also "calm, resting" (from PIE root *kweie- "to rest, be quiet").

From mid-13c. as "deprived of." From c. 1300 of real property, "exempt from taxes or other dues or claims."

[payment for use of property], mid-12c., in a legal sense, "compensation made periodically, with reference to time of possession and use of property," from Old French rente "payment due; profit, income" and Medieval Latin renta, both from Vulgar Latin *rendita, noun use of fem. past participle of *rendere "to render" (see render (v.)).

It came into English earlier in a more general, and now obsolete, sense of "income, revenue" (late Old English). The sense in political economy, "what is left from the produce of the soil after deducting what is necessary to support the producers, interest, seed-corn, etc.," is by 1815. Rent-free is attested from 1630s.

Rents (to think how much of evil there is in the two senses of that four-lettered word ! In the two methods of intonation of its synonym, Tear !) [Ruskin, "Fors Claveriga"]

*kweiə-, also *kwyeə-, Proto-Indo-European root meaning "to rest, be quiet."

It forms all or part of: acquiesce; acquit; awhile; coy; quiesce; quiescent; quiet; quietism; quietude; quietus; quit; quitclaim; quite; quit-rent; quittance; requiescat; requiem; requite; while; whilom.

It is the hypothetical source of/evidence for its existence is provided by: Avestan shaitish "joy," shaiti- "well-being," shyata- "happy;" Old Persian šiyatish "joy;" Latin quies "rest, repose, quiet;" Old Church Slavonic po-koji "rest;" Old Norse hvild "rest."