Shown the way out of an insoluble dilemma (3)
I believe the answer is:
led
'shown the way' is the definition.
(I've seen this before)
'out of an insoluble dilemma' is the wordplay.
'out of' says the answer is hidden in the clue.
'LED' is hidden in the letters of 'insoluble dilemma'.
(Other definitions for led that I've seen before include "was in the van" , "Something emitting light" , "Went ahead" , "Influenced" , "Conducted" .)