BBC matinee regularly broadcast Taxi Driver (6)

I believe the answer is:

cabbie

'taxi driver' is the definition.
(I've seen this before)

'bbc matinee regularly broadcast' is the wordplay.
'regularly' indicates alternate letters (regularly take one letter, leave next etc.).
'broadcast' indicates anagramming the letters.
The alternate letters of 'matinee' are 'aie'.
'bbc'+'aie'='bbcaie'
'bbcaie' anagrammed gives 'CABBIE'.

(Another definition for cabbie that I've seen is " Taxi driver (colloq.)".)

I've seen this clue in The Independent.

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