What a shame test interrupted by one training program (8)

I believe the answer is:

tutorial

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'training program' is the definition.
(I've seen this in another clue)

'what a shame test interrupted by one' is the wordplay.
'what a shame' becomes 'tut' (I can't justify this - if you can you should believe this answer much more).
'test' becomes 'oral' (oral is a type of examination).
'interrupted by' is an insertion indicator.
'one' becomes 'i' (Roman numeral).
'oral' going around 'i' is 'orial'.
'tut'+'orial'='TUTORIAL'

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(Other definitions for tutorial that I've seen before include "Private lesson" , "Session with a private instructor" , "Conference" , "Rail tout (anag)" , "University lesson" .)

I've seen this clue in The Times.

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