Dog had pig brought round (6)
I believe the answer is:
shadow
'dog' is the definition.
(I've seen this before)
'had pig brought round' is the wordplay.
'pig' becomes 'sow' (I've seen this in another clue).
'brought round' indicates putting letters inside.
'had' going inside 'sow' is 'SHADOW'.
(Other definitions for shadow that I've seen before include "Follow closely; pale imitation" , "Sort of boxer - dog" , "Secretly tail someone" , "Unilluminated area" , "Follow - dark patch" .)