Big smoke for 101 fish (5)

I believe the answer is:

cigar

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

'big smoke' is the definition.
'cigar' can be an answer for 'smoke' (smoke can mean a cigar). I'm not sure about the 'big' bit.

'101 fish' is the wordplay.
'101' becomes 'CI' (roman numerals).
'fish' becomes 'gar' (type of gar).
'ci'+'gar'='CIGAR'

'for' is the link.

Can you help me to learn more?

(Other definitions for cigar that I've seen before include "Rolled tobacco leaf for smoking" , "Something to smoke" , "Roll of tobacco leaves for smoking" , "Corona, eg" , "A real smoke!" .)

I've seen this clue in the Sydney Morning Herald.

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