Crossword Genius

Drink and fish after exploits (4,5)

Ross

I believe the answer is:

milk shake

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

'drink' is the definition.
(I know that milk shake is a type of drink)

'fish after exploits' is the wordplay.
I cannot really see how this works, but
'fish' could be 'hake' (hake is a kind of fish) and 'hake' is located in the answer.
'exploits' could be 'milks' (milking is a kind of exploiting) and 'milks' is found within the answer.
This accounts for all the letters.
This explanation may well be incorrect...

'and' is the link.

Can you help me to learn more?

(Other definitions for milk shake that I've seen before include "Cold whisked drink" , "Frothy mixed drink" , "Dairy/fruit drink" , "Dairy drink" .)

I've seen this clue in The Times.
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