A way out of perplexity (4)
I believe the answer is:
exit
'a way out' is the definition.
(I know that way out can be written as exit)
'of perplexity' is the wordplay.
'of' indicates the answer is hidden within the clue.
'EXIT' is hidden within 'perplexity'.
(Other definitions for exit that I've seen before include "Actor's departure" , "Escape route?" , "Player's departure" , "Outlet" , "[DOOR] ?" .)