County resists American cash (5)
I believe the answer is:
bucks
I believe this clue is a triple definition!
'county' is the first definition.
(short for Buckinghamshire)
'resists' is the second definition.
(as in bucking a trend)
'american cash' is the third definition.
(Other definitions for bucks that I've seen before include "young men" , "dandies" , "Opposes;, males" , "Goes against" , "Male rabbits" .)