A doctor; one sort of specialist going round (7)
I believe the answer is:
ambient
'going round' is the definition.
(I've seen this before)
'a doctor one sort of specialist' is the wordplay.
'doctor' becomes 'MB' (Bachelor of Medicine, Medicinae Baccalaureus).
'one sort of specialist' becomes 'ient' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'a'+'mb'+'ient'='AMBIENT'
Can you help me to learn more?
(Other definitions for ambient that I've seen before include "air" , "Of music, say, played at low volume to create atmosphere" , "Going round" , "Surrounding, temperature perhaps" , "Relating to the immediate environment" .)