Dramatist not beginning his work, 'Give And Take' (9)

I believe the answer is:

interplay

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'give and take' is the definition.

'dramatist not beginning his work' is the wordplay.
'dramatist' becomes 'pinter' (Harold Pinter).
'not beginning' means to remove the first letter.
'his work' becomes 'play' (I can't justify this - if you can you should believe this answer much more).
'pinter' with its first letter taken off is 'inter'.
'inter'+'play'='INTERPLAY'

Can you help me to learn more?

(Other definitions for interplay that I've seen before include "Co-operation" , "Mutual actions" , "reciprocal action?" .)

I've seen this clue in The Everyman puzzle in The Observer.

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