Small island's equipment for divers (5)

I believe the answer is:

scuba

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'equipment for divers' is the definition.
I can't judge whether this defines the answer.

'small island's' is the wordplay.
'small' becomes 's' (abbreviation - e.g. clothes size).
'island' becomes 'cuba' (Cuba is an example).
's'+'cuba'='SCUBA'

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(Other definitions for scuba that I've seen before include "Self-contained underwater breathing apparatus (acronym)" , "breather" , "Apparatus for divers" , "Skin-diver's device" , "Diving apparatus" .)

I've seen this clue in The Times.

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