I ran out in the wet (4)
I believe the answer is:
rain
'the wet' is the definition.
(thesaurus)
'i ran out' is the wordplay.
'out' means one lot of letters goes inside another.
'i' put into 'ran' is 'RAIN'.
'in' is the link.
(Other definitions for rain that I've seen before include "eg A shower" , "Weather - shower" , "Cats and dogs?" , "The ---, it ---eth every day (T.Night)" , "Fall wetly" .)