Be deluded, giving order to heal lunatic (11)
I believe the answer is:
hallucinate
'be deluded' is the definition.
(as in being deluded by a hallucination)
'order to heal lunatic' is the wordplay.
'order' indicates an anagram.
'heal'+'lunatic'='heallunatic'
'heallunatic' anagrammed gives 'HALLUCINATE'.
'giving' acts as a link.
(Other definitions for hallucinate that I've seen before include "Experience unreal things" , "See things that aren't there" , "See what isn't there" , "Have strange visions" .)