Go into hospital department with medical drama (5)
I believe the answer is:
enter
'go into' is the definition.
(enter can mean to go into a place)
'hospital department with medical drama' is the wordplay.
'hospital department' becomes 'ENT' (abbreviation for Ear, Nose and Throat department).
'with' is a charade indicator (letters next to each other).
'medical drama' becomes 'ER' (US medical drama).
'ent'+'er'='ENTER'
(Other definitions for enter that I've seen before include "Go/come in" , "Set foot in" , "Go in - set down" , "Inscribe" , "Fill in" .)