... strong wind, gold gone in a month (4)

I believe the answer is:

gust

I'm a little stuck... Click here to teach me more about this clue!

'strong wind' is the definition.
'gust' can be an answer for 'wind' (gust is a kind of wind). I'm unsure of the 'strong' bit.

I cannot understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for gust that I've seen before include "A big blow" , "Sudden rush of wind" , "Puff (of wind)" , "14 [OUTBURST]" , "Brief rush of wind" .)

I've seen this clue in The Hindu.

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