Country pair leaving panda car the worse for wear (6)
I believe the answer is:
'country' is the definition.
(Canada is an example)
'pair leaving panda car the worse for wear' is the wordplay.
'pair' becomes 'pr' (abbreviation).
'leaving' suggests deleting specific letters.
'the worse for wear' indicates an anagram.
'pandacar' with 'pr' removed is 'andaca'.
'andaca' anagrammed gives 'CANADA'.
(Other definitions for canada that I've seen before include "Nation in northern North America" , "Part of North America" , "Weight units" , "See 6 Down" , "New World country" .)