Get wind of sweetheart releasing tweets (4)
I believe the answer is:
hear
'get wind of' is the definition.
(synonyms)
'sweetheart releasing tweets' is the wordplay.
'releasing' indicates named letters should be taken away.
'sweetheart' with 'tweets' removed is 'HEAR'.
(Other definitions for hear that I've seen before include "attend" , "Pick up, aurally" , "Get wind of" , "Perceive sound" , "Perceive aurally" .)