Second island to get diving kit (5)

I believe the answer is:

scuba

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'diving kit' is the definition.
'scuba' can be an answer for 'diving'. I am not sure about the 'kit' bit.

'second island' is the wordplay.
'second' becomes 's' (common abbreviation).
'island' becomes 'cuba' (Cuba is an example).
's'+'cuba'='SCUBA'

'to get' is the link.

Can you help me to learn more?

(Other definitions for scuba that I've seen before include "Device that lets divers breathe under water" , "Skin-diver's device" , "Diving apparatus" , "Apparatus for divers" , "Diving equipment" .)

I've seen this clue in The Independent.

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