Stone animal taken round New York (4)
I believe the answer is:
onyx
'stone' is the definition.
(type of gemstone)
'animal taken round new york' is the wordplay.
'animal' becomes 'ox' (castrated bull).
'taken round' means one lot of letters goes inside another.
'new york' becomes 'ny'.
'ox' going around 'ny' is 'ONYX'.
(Other definitions for onyx that I've seen before include "Form of chalcedony" , "Banded chalcedony" , "African antelope" , "Black and white striped gemstone" , "Stone-like marble with coloured layers" .)