Quiet order to a little dog (3)
I believe the answer is:
pom
'a little dog' is the definition.
(Pom is 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'
'to' is the link.
(Other definitions for pom that I've seen before include "Brit abroad" , "Pomeranian dog" , "Britisher in Oz" , "Australian term for Englishman" , "Little dog" .)