Stripping, perhaps, is outrageous in elevator (10)
I believe the answer is:
revelation
'stripping' is the definition.
(thesaurus)
'is outrageous in elevator' is the wordplay.
'is outrageous' indicates anagramming the letters (I've seen 'being outrageous' mean this).
'in'+'elevator'='inelevator'
'inelevator' is an anagram of 'REVELATION'.
'perhaps' is the link.
(Other definitions for revelation that I've seen before include "The last book to give clergyman" , "enlightening book?" , "unexpected display" , "Suprising disclosure" , "enlightening experience" .)