My accommodating a duck, a horse and a cat (5)
I believe the answer is:
moggy
'a cat' is the definition.
(I've seen this before)
'my accommodating a duck a horse' is the wordplay.
'accommodating' indicates putting letters inside.
'a duck' becomes 'o'.
'a horse' becomes 'gg'.
'o'+'gg'='ogg'
'my' enclosing 'ogg' is 'MOGGY'.
'and' acts as a link.
(Other definitions for moggy that I've seen before include "Puss" , "Cat (sl.)" , "Pussy" .)