Chords Pia rewrote were lyrical (9)
I believe the answer is:
rhapsodic
'lyrical' is the definition.
(thesaurus)
'chords pia rewrote' is the wordplay.
'rewrote' indicates anagramming the letters (I've seen 'rewritten' mean this).
'chords'+'pia'='chordspia'
'chordspia' is an anagram of 'RHAPSODIC'.
'were' is the link.
I am not very happy about this link. It may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for rhapsodic that I've seen before include "Like an irregular and emotional composition" , "Expressing ecstatic feeling" , "Expressing delight" , "Wildly emotional" , "Freely emotional" .)