Husband to leave pet with mother in city (9)
I believe the answer is:
amsterdam
'city' is the definition.
(Amsterdam is an example)
'husband to leave pet with mother' is the wordplay.
I cannot really understand how this works, but
'mother' could be 'dam' (female parent of an animal) and 'dam' is found in the answer.
This may be the basis of the clue (or it may be nonsense).
'in' acts as a link.
Can you help me to learn more?
(Other definitions for amsterdam that I've seen before include "Netherlands capital" , "City of the Rijks-museum and Van Gogh Museum" , "Western European city, a major diamond centre" , "city with many canals" , "diamond-cutting centre" .)