Put up with Hungary's president (4)
I believe the answer is:
hike
'put up' is the definition.
(thesaurus)
'with hungary's president' is the wordplay.
'with' means one lot of letters go next to another.
'hungary' becomes 'h' (abbreviation used in vehicle registration codes).
'president' becomes 'ike' (nickname of Dwight Eisenhower).
'h' put next to 'ike' is 'HIKE'.
(Other definitions for hike that I've seen before include "Travel by Shank's Mare" , "Long walk; big price rise" , "Walk for pleasure in the country" , "physical exercise" , "Trek" .)