Cold killer who finally arrived on Broadway (6)

I believe the answer is:

iceman

I believe this clue is a double definition.

'cold killer' is the first definition.
(iceman can mean an assassin)

'who finally arrived on broadway' is the second definition.
(as in the play The Iceman Cometh)

(Other definitions for iceman that I've seen before include "Professional killer - jewel thief - Eugene O'Neill character" , "He delivers" , "Professional killer (US slang)" , "Eugene O'Neill's figure of 'death' (the one who cometh!)" , "assassin" .)

I've seen this clue in The Guardian.

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