Type of neck fit for woolly (5)

I believe the answer is:

vague

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'for woolly' is the definition.
(I've seen this before)

'type of neck fit' is the wordplay.
'type of neck' becomes 'v' (I am not sure about this - if you are sure you should believe this answer much more).
'fit' becomes 'ague' (I've seen this before).
'v'+'ague'='VAGUE'

Can you help me to learn more?

(Other definitions for vague that I've seen before include "Not clearly defined or perceived" , "Inexact" , "Uncertain, imprecise" , "Indefinite" , "Indistinct or imprecise" .)

I've seen this clue in The Sun and The Times.

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