Inspectors after turning up get rid of pitmen (9)
I believe the answer is:
examiners
'inspectors' is the definition.
('examiner' can be a synonym of 'inspector')
'turning up get rid of pitmen' is the wordplay.
'turning up' says the letters should be written backwards.
'get rid of' becomes 'axe' (I've seen this in another clue).
'pitmen' becomes 'miners' (people who work down a pit).
'axe' reversed gives 'exa'.
'exa'+'miners'='EXAMINERS'
'after' is the link.
(Other definitions for examiners that I've seen before include "Testers" , "Inspectors" .)