Dog on street barking behind daughter (3,6)
I believe the answer is:
red setter
'dog' is the definition.
(red setter is a kind of dog)
'on street barking behind daughter' is the wordplay.
'on' becomes 're' ('on' can be mean 'with reference to'**).
'barking' indicates anagramming the letters (UK slang for mad).
'behind' says to put letters next to each other.
'daughter' becomes 'd'.
'street' anagrammed gives 'setter'.
'setter' after 'd' is 'dsetter'.
're'+'dsetter'='RED SETTER'
(Other definitions for red setter that I've seen before include "Barker" , "supplier of crosswords to the Daily Worker?" , "Breed of dog" , "description of evening sun?" , "My best friend" .)