Councillor states .. "Cate a problem for prawns and lobsters" (9)

I believe the answer is:

crustacea

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'prawns and lobsters' is the definition.
I can't tell whether this defines the answer.

'councillor states cate a problem' is the wordplay.
'councillor' becomes 'cr' (I've seen this in other clues).
'states' becomes 'US' (abbreviation for the United States).
'problem' indicates an anagram.
'cate'+'a'='catea'
'catea' is an anagram of 'tacea'.
'cr'+'us'+'tacea'='CRUSTACEA'

'for' acts as a link.

Can you help me to learn more?

(Other definitions for crustacea that I've seen before include "Shelled group" , "crabby group?" , "shellfish" , "Collection of hardbacks" , "class of seafood" .)

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

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