Putting barrier around a sport (7)

I believe the answer is:

fencing

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This clue could be a double definition.

'putting barrier' is the first definition.
'fencing' can be an answer for 'barrier' (fencing is a kind of barrier). I am unsure of the 'putting' bit.

'a sport' is the second definition.
(I've seen this before)

'around' acts as a link.

Can you help me to learn more?

(Other definitions for fencing that I've seen before include "Olympic sport since 1896" , "Barrier; sport" , "enclosure" , "Sport with swords" .)

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

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