Limited coverage? It’s been given some air (1-6)

I believe the answer is:

g-string

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'limited coverage?' is the definition.
'g-string' can be an answer for 'coverage?' (I have seen 'minimal coverage' mean 'g-string' so perhaps 'coverage' could also mean 'g-string'). I am unsure of the 'limited' bit.

I can't explain the rest of the clue.

Can you help me to learn more?

(Other definitions for g-string that I've seen before include "Skimpy undergarment" , "Minimal wear" , "Thong" , "Stripper's minimal garment" , "Air on a - -" .)

I've seen this clue in The Independent.

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