Shoot scene running round island (5)
I believe the answer is:
scion
'shoot' is the definition.
(thesaurus)
'scene running round island' is the wordplay.
'scene' becomes 'sc' (theatrical abbreviation).
'running' becomes 'on' (eg when a machine is running it is on).
'round' indicates putting letters inside.
'island' becomes 'i'.
'sc'+'on'='scon'
'scon' enclosing 'i' is 'SCION'.
(Other definitions for scion that I've seen before include "Plant shoot; descendant of a noble family;" , "Young shoot or twig" , "Young child" , "Younger member of a family" , "Offshoot" .)