Lift out of order eg in the hospital (8)
I believe the answer is:
heighten
'lift' is the definition.
(I've seen this before)
'order eg in the hospital' is the wordplay.
'order' indicates an anagram.
'hospital' becomes 'h'.
'eg'+'in'+'the'+'h'='egintheh'
'egintheh' is an anagram of 'HEIGHTEN'.
'out of' is the link.
(Other definitions for heighten that I've seen before include "Intensify, enhance" , "Elevate - intensify" , "Intensify; make taller" , "Become more intense" , "Increase in amount of degree" .)