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Douglas Harper's Etymology Dictionary
folky

"characteristic of the common people," 1914, from folk + -y (2). Old English had folcisc "popular, secular, common."

Wiktionary
folky

a. (context music informal English) Having the character of folk music

Usage examples of "folky".

I could see that Jenny was sifting these out in favour of more upper-class items, with the folky bare-wood sideboards, velvet dwarf thrones, with its something-I-picked-up here and its got-it-for-thirty-bob there: tastefully timeless.

Granted, they were cheap Cyndi Lauper imitations, but they were also colorful, borderline folky, and rather cute.