Any exit taken out of uneasiness (7)
I believe the answer is:
anxiety
'uneasiness' is the definition.
(thesaurus)
'any exit taken out' is the wordplay.
'taken out' indicates anagramming the letters.
'any'+'exit'='anyexit'
'anyexit' is an anagram of 'ANXIETY'.
'of' acts as a link.
(Other definitions for anxiety that I've seen before include "State of apprehension" , "Disquiet" , "Worry, concern" , "Worry, unease" , "Nervousness" .)