Children avoid feeding parent's dog (9)
I believe the answer is:
dachshund
'dog' is the definition.
(I know that Dachshund is a type of dog)
'children avoid feeding parent's' is the wordplay.
'children' becomes 'ch' (genealogical abbreviation).
'avoid' becomes 'shun' (shunning is a kind of avoiding).
'feeding' indicates putting letters inside.
'parent' becomes 'dad' (dad can informally mean father).
'ch'+'shun'='chshun'
'chshun' going into 'dad' is 'DACHSHUND'.
(Other definitions for dachshund that I've seen before include "Long, low dog" , "low-down dog" , "Dad's hunch about the dog" , "Long-bodied, short-legged breed of dog" , "Sausage dog" .)