God! Composer has caught us (7)
I believe the answer is:
bacchus
'god' is the definition.
(Bacchus is an example)
'composer has caught us' is the wordplay.
'composer' becomes 'bach' (Johann Sebastian Bach).
'has' indicates putting letters inside.
'caught' becomes 'c' (cricket abbreviation).
'bach' enclosing 'c' is 'bacch'.
'bacch'+'us'='BACCHUS'
(Other definitions for bacchus that I've seen before include "Greek god of boozing" , "Roman god of drink and revelry" , "Greek god of wine, also called Dionysus" , "Roman god of wine and revelry" , "Divinity" .)