Beethoven symphony lifted heart around island area (6)
I believe the answer is:
eroica
'beethoven symphony' is the definition.
(I've seen this in another clue)
'lifted heart around island area' is the wordplay.
'lifted' says the letters should be written backwards (going up in down clue).
'heart' becomes 'core' (synonyms).
'around' indicates putting letters inside.
'island' becomes 'i' (geographical abbreviation).
'area' becomes 'a' (maths abbreviation).
'core' enclosing 'i' is 'ciore'.
'ciore' written backwards gives 'eroic'.
'eroic'+'a'='EROICA'
(Other definitions for eroica that I've seen before include "Title of Beethoven's 3rd" , "Name of Beethoven's Third symphony" , "Name given to Beethoven's Symphony No 3" , "Nickname of Beethoven's third symphony" , "noted work" .)