late Old English smoca (rare) "fumes and volatile material given off by burning substances," related to smeocan "give off smoke," from Proto-Germanic *smuk- (source also of Middle Dutch smooc, Dutch smook, Middle High German smouch, German Schmauch), from PIE root *smeug- "to smoke; smoke" (source also of Armenian mux "smoke," Greek smykhein "to burn with smoldering flame," Old Irish much, Welsh mwg "smoke").
There is no fyre without some smoke [Heywood, 1562]
The more usual noun was Old English smec, which became dialectal smeech. Abusive meaning "black person" attested from 1913, American English. Smoke-eater "firefighter" is c. 1930. Figurative phrase go up in smoke "be destroyed" (as if by fire) is from 1933. Smoke-alarm first attested 1936; smoke-detector from 1957.
mid-14c., "upright piece of furniture providing protection from heat of a fire, drafts, etc.," probably from a shortened (Anglo-French? compare Anglo-Latin screna) variant of Old North French escren, Old French escran "fire-screen" (early 14c.), perhaps from Middle Dutch scherm "screen, cover, shield," or Frankish *skrank "barrier," from Proto-Germanic *skerm- (source also of Old High German skirm, skerm "protection," from PIE root *sker- (1) "to cut."
Meaning "net-wire frame used in windows and doors" is recorded from 1859. Meaning "flat vertical surface for reception of projected images" is from 1810, originally in reference to magic lantern shows; later of movies. Transferred sense of "cinema world collectively" is attested from 1914; hence screen test (1918), etc. Screen saver first attested 1990. Screen printing recorded from 1918.