One from Peru, perhaps Lima, in a trance, dancing (5,8)
I believe the answer is:
latin american
'one from peru' is the definition.
(I know this)
'lima in a trance dancing' is the wordplay.
'dancing' indicates anagramming the letters.
'lima'+'in'+'a'+'trance'='limainatrance'
'limainatrance' anagrammed gives 'LATIN-AMERICAN'.
'perhaps' is the link.
(Other definitions for latin american that I've seen before include "Spanish-speaking in the US?" , "Coming from south of US" , "from Brazil perhaps" , "Mexican, for example" , "possibly from Argentina" .)