Branch of medicine in US city set record for foreign money? (9)
I believe the answer is:
neurology
'branch of medicine' is the definition.
(I've seen this in another clue)
'us city set record for foreign money?' is the wordplay.
I cannot really see how this works, but
'city' could be 'ur' (ancient Sumerian city state) and 'ur' is found in the answer.
'record' could be 'log' (logging is a kind of recording) and 'log' is present in the answer.
This explanation may well be incorrect...
'in' acts as a link.
(Another definition for neurology that I've seen is " Study of the nervous system".)