Be unwilling to take time off to tour the island (6)
I believe the answer is:
resist
'be' is the definition.
(I know that resist is a more specific form of the action elude)
'time off to tour the island' is the wordplay.
'time off' becomes 'rest' (I've seen this in another clue).
'to tour' is an insertion indicator (to tour can mean to go around).
'the island' becomes 'is' (abbreviation).
'rest' placed around 'is' is 'RESIST'.
'unwilling to take' acts as a link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for resist that I've seen before include "Refuse to comply" , "Express opposition" , "Withstand, struggle against" , "Take stand against, oppose" , "Oppose, put up defence" .)