"cheerfully perky," literally "full of chirping," 1825, from chirp + -y (2). The notion is perhaps of birds fluttering and chattering.
Entries linking to chirpy
chirp v.
"make a short, sharp, happy sound like a bird," mid-15c. (implied in chirping), echoic, or else a variant of Middle English chirken "to twitter" (late 14c.), from Old English cearcian "to creak, gnash." Related: Chirped. As a noun, attested from 1802.
-y 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). Adjectives such as hugy, vasty are artificial words that exist for the sake of poetical metrics.