1610s, of wind, "gusty, coming in puffs," from puff + -y (2). Of other things, "swollen," as if with air or some soft substance, by 1660s. The earliest attested use is figurative, "bombastic" (1590s). Related: Puffily; puffiness.
c. 1200, puf, puffe, perhaps from Old English, pyf "short, quick blast of wind; act of puffing," from puff (v.). Meaning "type of light pastry" is recorded from late 14c.; that of "small pad of a downy or flossy texture for applying powder to skin or hair" is from 1650s.
From 1560s in the figurative sense of "empty or vain boast;" the meaning "flattery, inflated praise" is recorded from 1732. Derogatory use for "homosexual male" is recorded by 1902 (compare poof (n.2)).
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).