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 justify this - if you can you should believe this answer much more).
'in' is an insertion indicator.
'texas' becomes 'TX' (abbreviation).
'hebron' inserted inside 'tx' is 'THE BRONX'.
'or' acts as a link.
Can you help me to learn more?
(Other definitions for the bronx that I've seen before include "Mainland borough" , "NY borough" .)