Press and TV ignoring a gallery's muse (8)
I believe the answer is:
meditate
'muse' is the definition.
('meditate' can be a synonym of 'muse')
'press and tv ignoring a gallery's' is the wordplay.
'press and tv' becomes 'media' (I've seen this before).
'ignoring' indicates named letters should be taken away.
'gallery' becomes 'tate' (I've seen this before).
'media' with 'a' removed is 'medi'.
'medi'+'tate'='MEDITATE'
(Other definitions for meditate that I've seen before include "Ruminate" , "Relax mentally" , "Reflect upon" , "Focus one's mind for a period for spirituality or relaxation" , "Engage in contemplation" .)