No dog act, possibly (3)

I believe the answer is:

cat

I'm a little stuck... Click here to teach me more about this clue!

'no dog' is the definition.
The answer and definition can be both animals as well as being singular nouns.
Perhaps you can see a link between them that I don't see?

'act possibly' is the wordplay.
'possibly' is an anagram indicator.
'act' anagrammed gives 'CAT'.

Can you help me to learn more?

(Other definitions for cat that I've seen before include "Domestic animal" , "Moggy" , "Eg, tiger, lion" , "Pussy" , "A tom" .)

I've seen this clue in the Evening Standard.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.