Fetish involving India and its martial art (3-5)

I believe the answer is:

jiu-jitsu

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'martial art' is the definition.
(I know that Jiu-Jitsu is a type of martial art)

'fetish involving india' is the wordplay.
'fetish' becomes 'jujitsu' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'involving' means one lot of letters goes inside another.
'india' becomes 'i' (phonetic alphabet: alpha, bravo, charlie etc.).
'jujitsu' enclosing 'i' is 'JIU-JITSU'.

'and its' is the link.

Can you help me to learn more?

I've seen this clue in The Times.

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