Encourage awareness, might one say? (6)
I believe the answer is:
incite
'encourage' is the definition.
(I've seen this before)
'awareness might one say?' is the wordplay.
'awareness' becomes 'insight' (I've seen this before).
'might one say?' shows a homophone (sound like).
'insight' sounds like 'INCITE'.
(Other definitions for incite that I've seen before include "Prompt" , "Stir up, hatred say" , "'Stir up, provoke (6)'" , "Move to action" , "Stir up (eg, violence)" .)