Hand over a note touring island being enthusiastic (10)
I believe the answer is:
passionate
'enthusiastic' is the definition.
('passionate' is associated in meaning with 'enthusiastic')
'hand over a note touring island' is the wordplay.
'hand' becomes 'pass' ('pass' can be a synonym of 'hand'**).
'over' is a charade indicator (letters next to each other).
'touring' indicates anagramming the letters (touring can mean moving around).
'island' becomes 'i'.
'a'+'note'='anote'
'anote' is an anagram of 'onate'.
'onate' after 'i' is 'ionate'.
'pass'+'ionate'='PASSIONATE'
'being' acts as a link.
(Other definitions for passionate that I've seen before include "Showing intense feeling" , "Strongly emotional" , "Having strong feelings" , "Easily moved" , "Ardent" .)