Chief group supplying item of audio equipment (7)

I believe the answer is:

headset

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'audio equipment' is the definition.
(I've seen this before)

'chief group' is the wordplay.
'chief' becomes 'head' (synonyms).
'group' becomes 'set' (both can mean a collection).
'head'+'set'='HEADSET'

'supplying item of' is the link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.

Can you help me to learn more?

(Other definitions for headset that I've seen before include "communications gear" , "One covers the ears" , "Audio communication equipment worn by pilots, DJs etc" , "Communication kit" , "phones" .)

I've seen this clue in The Telegraph.

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