1) Attire 2) Bald lie 3) Dress 4) False hair 5) Garb 6) Locks you can pick 7) Overhead covering 8) Postiche 9) Rogaine alternative 10) Rug, so to speak 11) Toupee 12) Toupee in musical section Found on https://www.crosswordclues.com/clue/hairpiece
Hairpieces are worn in place of growing hair. They are partial pieces or add-ons used to create additional volume or length to existing hair. Found on https://www.encyclo.co.uk/local/22749