Pursued for being pure, say (6)
I believe the answer is:
chased
'pursued' is the definition.
(synonyms)
'pure say' is the wordplay.
'pure' becomes 'chaste' (chaste means abstaining from sex).
'say' indicates a 'sounds like' (homophone) clue.
'chaste' sounds like 'CHASED'.
'for being' acts as a link.
(Other definitions for chased that I've seen before include "Pursued, ran after" , "Pursued at speed" , "Went after with the intent to catch" , "Wooed" , "Hunted" .)