1 down
American
friend’s
a
nuisance
in
European
2
(8)
American friend’s a nuisance in European 2 (8)
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The definition is at the end of the clue.
How the clue works
Look at European 2 — that's your definition, where "2" refers to the answer of 2 down (CITY), giving you "European city." For the wordplay, string together BUD (American slang for friend), A, and PEST (a nuisance) and you've got your answer.