Overcome, doctor gets personal (5)
I believe the answer is:
drown
'overcome' is the definition.
(thesaurus)
'doctor gets personal' is the wordplay.
'doctor' becomes 'dr' ('Dr' can be a synonym of 'doctor').
'gets' means one lot of letters go next to another.
'personal' becomes 'own' ('own' can be similar in meaning to 'personal').
'dr'+'own'='DROWN'
(Other definitions for drown that I've seen before include "Sink" , "Die in sea" , "Die by inhaling liquid" , "Immerse (fatally?)" , "Go under" .)