Taking care of funny doctor (5)
I believe the answer is:
medic
'doctor' is the definition.
(thesaurus)
'taking care of funny' is the wordplay.
'taking' suggests deleting specific letters.
'care of' becomes 'co' (c/o can mean 'care of' when addressing mail).
'funny' becomes 'comedic' (I've seen this before).
'comedic' with 'co' taken away is 'MEDIC'.
(Other definitions for medic that I've seen before include "Word for 'doctor'" , "Health worker" , "He may offer treatment" , "What was Basutoland" , "Eg, doctor" .)