LA detectives turning up to support me in examination (7)
I believe the answer is:
medical
'examination' is the definition.
(I know that medical is a type of examination)
'la detectives turning up to support me' is the wordplay.
'detectives' becomes 'CID' (abbreviation for Criminal Investigation Department).
'turning up' is a reversal indicator.
'to support' is a charade indicator (letters next to each other) (in a down clue, some letters hold up others).
'la'+'cid'='lacid'
'lacid' written backwards gives 'dical'.
'dical' after 'me' is 'MEDICAL'.
'in' is the link.
(Other definitions for medical that I've seen before include "Thorough health check" , "Relating to the art of healing" , "Of the science dealing with treatment of disease" , "Declaim (anag) -- health check" , "Relating to treatment rather than surgery" .)