Daughter supports sad hunch about small dog (9)
I believe the answer is:
dachshund
'small dog' is the definition.
(small breed of dog)
'daughter supports sad hunch about' is the wordplay.
'daughter' becomes 'd' (genealogical abbreviation).
'supports' is a charade indicator (letters next to each other) (bottom letters provide a support for the top ones).
'about' indicates an anagram.
'sad'+'hunch'='sadhunch'
'sadhunch' with letters rearranged gives 'dachshun'.
'd' after 'dachshun' is 'DACHSHUND'.
(Other definitions for dachshund that I've seen before include "Sausage dog" , "low-down dog" , "Long-bodied, short-legged breed of dog" , "Sausage 11" , "Small dog (from Germany?)" .)