Music to peer at, possibly (8)
I believe the answer is:
operetta
'music' is the definition.
(operetta is a kind of music)
'to peer at possibly' is the wordplay.
'possibly' indicates an anagram.
'to'+'peer'+'at'='topeerat'
'topeerat' with letters rearranged gives 'OPERETTA'.
(Other definitions for operetta that I've seen before include "Light entertainment" , "Light classical musical comedy-drama" , "Showboat or The Gondoliers, say" , "Eg, Orpheus in the Underworld" , "Light musical stage work" .)