Chitchat, tersely interrupted by people working in fashion (7)

I believe the answer is:

hatters

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'interrupted by people working in fashion' is the definition.
I can't tell whether this defines the answer.

'chitchat tersely' is the wordplay.
'HATTERS' is hidden in amongst the letters.
However, I'm not sure how this is indicated.

Can you help me to learn more?

(Other definitions for hatters that I've seen before include "Headgear manufacturers" , "Milliners" .)

I've seen this clue in The Irish Times.

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