Crossword Genius

Company doctor to carry out a careful examination (4)

Ross

I believe the answer is:

comb

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'carry out a careful examination' is the definition.
I can't tell whether this definition defines the answer.

'company doctor' is the wordplay.
'company' becomes 'co' (abbreviation).
'doctor' becomes 'mb' (Bachelor of Medicine, Medicinae Baccalaureus).
'co'+'mb'='COMB'

'to' is the link.

Can you help me to learn more?

(Other definitions for comb that I've seen before include "Systematically search" , "For use on hair" , "Honey structure" , "Fastening spikes" , "Toothed object for tidying hair" .)

I've seen this clue in The Irish Independent.
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