Regularly ice-cold English female, one seen on the staff (1,4)

I believe the answer is:

c clef

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'one seen on the staff' is the definition.
I can't tell whether this defines the answer.

'regularly ice-cold english female' is the wordplay.
'regularly' indicates alternate letters (regularly take one letter, leave next etc.).
'english' becomes 'e' (abbreviation).
'female' becomes 'f' (common abbreviation).
'ice'+'cold'='icecold'
The alternating letters of 'icecold' are 'ccl'.
'ccl'+'e'+'f'='C CLEF'

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I've seen this clue in The Times.

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