Medicine from doctor that gets you recovering finally (4)
I believe the answer is:
drug
'medicine' is the definition.
(drugging is a kind of medicining)
'doctor that gets you recovering finally' is the wordplay.
'doctor' becomes 'dr' ('Dr' can be a synonym of 'doctor'**).
'that gets' is a charade indicator (letters next to each other).
'finally' suggests the final letters.
The last letters of 'you recovering' are 'ug'.
'dr'+'ug'='DRUG'
'from' acts as a link.
(Other definitions for drug that I've seen before include "Medicinal substance" , "Sedate" , "Maybe addictive substance" , "Medication" , "Pharmaceutical (or recreational) item" .)