Cunning lady carried cat around bird (9)
I believe the answer is:
guillemot
'bird' is the definition.
(guillemot is a kind of bird)
'cunning lady carried cat around' is the wordplay.
I cannot quite see how this works, but
'lady' could be 'gui' and 'gui' is found within the answer.
'around' could be 'o' (a round letter) and 'o' is present in the answer.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for guillemot that I've seen before include "Diver" , "Diving bird" , "Fisher" , "An auk" , "Seabird" .)