Green’s Dictionary of Slang

p.q. n.

[abbr. polyester queen]

(US campus) someone who is out of date, unfashionable.

[US]Eble Campus Sl. Oct.
[US]Eble Sl. and Sociability 37: Two kinds of shortening reduce words to letters. The dominant type in college slang is initialism, which names the individual letters: [...] PQ (polyester queen) ‘someone who is out of date’.