Private sign for government ministers (11)

I believe the answer is:

secretaries

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'government ministers' is the definition.
The answer and definition can be both people as well as being plural nouns.
Maybe there's an association between them I don't understand?

'private sign' is the wordplay.
'private' becomes 'secret' ('secret' can be similar in meaning to 'private').
'sign' becomes 'aries' (star sign).
'secret'+'aries'='SECRETARIES'

'for' is the link.

Can you help me to learn more?

I've seen this clue in The Telegraph.

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