Garment for artillery chief (4,3)

I believe the answer is:

tank top

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

'artillery chief' is the wordplay.
'artillery' becomes 'tank' (I am not sure about this - if you are sure you should believe this answer much more).
'chief' becomes 'top' (synonyms).
'tank'+'top'='TANK TOP'

'for' acts as a link.

Can you help me to learn more?

(Other definitions for tank top that I've seen before include "Close-fitting garment" , "piece of clothing" , "Upper body garment" , "Woollen sleeveless jumper" , "Young woman might appear in this" .)

I've seen this clue in The Daily Express.

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