Look into availability around holiday island (4)

I believe the answer is:

bali

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'holiday island' is the definition.
(Bali is a popular holiday destination)

'look into availability around' is the wordplay.
'look into' becomes 'bal' (I can't explain this - if you can you should give a lot more credence to this answer).
'availability' becomes 'handiness' (synonyms).
'around' indicates the central letters.
The middle letter of 'handiness' is 'i'.
'bal'+'i'='BALI'

Can you help me to learn more?

(Other definitions for bali that I've seen before include "Bail out of the island" , "Indonesian island, capital Denpasar" , "Holiday island to the east of Java" , "Javanese island" , "mountainous island" .)

I've seen this clue in the Sydney Morning Herald.

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