Check origin of updraught in mine entrance (5)
I believe the answer is:
audit
'check' is the definition.
(an audit is an examination or check)
'origin of updraught in mine entrance' is the wordplay.
'origin of' indicates taking the first letters.
'in' indicates putting letters inside.
'mine entrance' becomes 'adit' (an adit is a passage leading to a mine).
The initial letter of 'updraught' is 'u'.
'u' placed inside 'adit' is 'AUDIT'.
(Other definitions for audit that I've seen before include "Examination of accounts" , "Inspect accounts" , "Review firm's accounts, annual check" , "Financial investigation" , "Stocktake" .)