Out of hospital, damages limbs (4)
I believe the answer is:
arms
'limbs' is the definition.
(arm is a kind of limb)
'out of hospital damages' is the wordplay.
'out of' is a deletion indicator.
'hospital' becomes 'h' (abbreviation for hospital on maps).
'damages' becomes 'harms' ('harm' can be a synonym of 'damage').
'harms' with 'h' taken out is 'ARMS'.
(Other definitions for arms that I've seen before include "Heraldic devices" , "Supplies weapons" , "Weapons, collectively" , "What the Venus de Milo lacks" , "International competition for weapons" .)