Crossword Genius

Only a sucker would drink with one (5)

Ross

I believe the answer is:

straw

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

'one' is the definition.
Although both the answer and definition are singular nouns, I cannot understand how one could define the other.

'only a sucker would drink with' is the wordplay.
I cannot quite understand how this works, but
'a' is within the answer.
'with' could be 'w' (abbreviation) and 'w' is found within the answer.
The remaining letters 'str' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for straw that I've seen before include "Dried stalks for fodder" , "Dried corn stalks" , "Plant fibre used as fodder" , "Thatching material" , "Residue of threshed corn" .)

I've seen this clue in the Evening Standard.
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