c. 1300, "the light, elastic outer bark of a species of oak tree native to Iberia and North Africa, used for many purposes," from Spanish alcorque "cork sole," probably from earlier Spanish corcho, from Latin quercus "oak" (see Quercus) or cortex (genitive corticis) "bark" (see corium).
In reference to the tree itself, mid-15c. From late 14c. as "cork-soled shoe." As "cork float for a fishing line," mid-15c. Meaning "cylindrical cork stopper or bung for a bottle, etc.," 1520s. As an adjective, "made of cork," 1716.
adjective suffix, "full of or characterized by," from Old English -ig, from Proto-Germanic *-iga- (source also of Dutch, Danish, German -ig, Gothic -egs), from PIE -(i)ko-, adjectival suffix, cognate with elements in Greek -ikos, Latin -icus (see -ic). Originally added to nouns in Old English; used from 13c. with verbs, and by 15c. even with other adjectives (for example crispy).
<a href="https://www.etymonline.com/word/corky">Etymology of corky by etymonline</a>
Harper, D. (n.d.). Etymology of corky. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/corky