Liberated doctor lived here having left hospital (8)
I believe the answer is:
relieved
'liberated' is the definition.
(I've seen this before)
'doctor lived here having left hospital' is the wordplay.
'doctor' is an anagram indicator.
'having left' indicates named letters should be taken away.
'hospital' becomes 'h' (abbreviation for hospital on maps).
'lived'+'here'='livedhere'
'livedhere' with 'h' taken out is 'livedere'.
'livedere' with letters rearranged gives 'RELIEVED'.
(Other definitions for relieved that I've seen before include "Released from duty by another" , "Alleviated, assuaged" , "made easier" , "Comforted" , "destressed" .)