New sauce in salad is cause of annoyance (8)

I believe the answer is:

nuisance

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'cause of annoyance' is the definition.
'nuisance' can be an answer for 'annoyance' (synonyms). I'm not sure about the 'cause of' bit.

'new sauce in salad' is the wordplay.
'new' becomes 'n' (common abbreviation eg NT for New Testament).
'salad' is an anagram indicator (salad can refer to a mixture).
'sauce'+'in'='saucein'
'saucein' with letters rearranged gives 'uisance'.
'n'+'uisance'='NUISANCE'

'is' is the link.

Can you help me to learn more?

(Other definitions for nuisance that I've seen before include "It causes inconvenience or annoyance" , "Source of irritation, person or thing" , "Thing causing annoyance" , "Bothersome pest" , "Bother" .)

I've seen this clue in The Irish Times.

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