Make fishy complaints? (4)

I believe the answer is:

carp

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'make' is the definition.
The definition and answer can be both to do with communicating as well as being verbs in their base form.
Perhaps they are linked in a way I don't understand?

I can't explain the remainder of the clue.

Can you help me to learn more?

(Other definitions for carp that I've seen before include "Fish - complain" , "Nagging fish?" , "Cavil - fish" , "ish" , "Continuously find fault" .)

I've seen this clue in the Evening Standard.

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