Ancient city in Texas or New York borough (3,5)
I believe the answer is:
the bronx
'new york borough' is the definition.
'The Bronx' can be an answer for 'borough' (The Bronx is an example). I am not certain of the 'new york' bit.
'ancient city in texas' is the wordplay.
'ancient city' becomes 'hebron' (I can't explain this - if you can you should believe this answer much more).
'in' indicates putting letters inside.
'texas' becomes 'TX' (abbreviation).
'hebron' put into 'tx' is 'THE BRONX'.
'or' is the link.
Can you help me to learn more?
(Other definitions for the bronx that I've seen before include "Mainland borough" , "NY borough" .)