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Only a little drink, but Joe left light-headed (4)

Ross

I believe the answer is:

gill

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'only a little drink' is the definition.
I can't tell whether this defines the answer.

'joe left light-headed' is the wordplay.
'joe' becomes 'GI' (GI Joe).
'left light-headed' becomes 'll' (this could be a standard abbreviation I've not previously seen).
'gi'+'ll'='GILL'

'but' acts as a link.

Can you help me to learn more?

(Other definitions for gill that I've seen before include "Organ for breathing under water" , "Fish's breathing apparatus" , "Fish's breathing organ" , "One quarter of a pint" , "Eric ---, sculptor; breathing organ" .)

I've seen this clue in the Evening Standard.
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