Quiet order to a dog (3)
I believe the answer is:
pom
'to a dog' is the definition.
(short for Pomeranian)
'quiet order' is the wordplay.
'quiet' becomes 'p' (music symbol for 'piano', ie soft or quiet).
'order' becomes 'om' (Order of Merit).
'p'+'om'='POM'
(Other definitions for pom that I've seen before include "Australian term for Englishman" , "Disparaging term for English immigrants to the Antipodes" , "Type of dog" , "Shortened name for a breed of dog" , "Limey in Oz" .)