Minion having round with boxer maybe (6)
I believe the answer is:
lapdog
'minion' is the definition.
(lapdog can mean a servile person)
'round with boxer maybe' is the wordplay.
'round' becomes 'lap' (as in a round or lap of a park).
'with' means one lot of letters go next to another.
'boxer maybe' becomes 'dog' (boxer is a breed of dog).
'lap'+'dog'='LAPDOG'
'having' is the link.
(Other definitions for lapdog that I've seen before include "Pom, for one" , "one of man's more diminutive best friends" , "Much petted pet" , "Small pampered pooch" , "Devoted attendant" .)