Going round circuit, catching gutted European (7)
I believe the answer is:
ambient
'going round' is the definition.
(I've seen this before)
'circuit catching gutted european' is the wordplay.
'circuit' becomes 'ambit' (I've seen this in another clue).
'catching' means one lot of letters goes inside another.
'gutted' means to remove the middle letters (to gut something is to remove its insides).
'european' with its middle removed is 'en'.
'ambit' enclosing 'en' is 'AMBIENT'.
(Other definitions for ambient that I've seen before include "Surrounding, temperature perhaps" , "Relating to the immediate surroundings" , "air" , "Of music, say, played at low volume to create atmosphere" , "relaxed atmosphere" .)