I hurried round in the wet (4)
I believe the answer is:
rain
'the wet' is the definition.
(thesaurus)
'i hurried round' is the wordplay.
'hurried' becomes 'ran' (running is a kind of hurrying).
'round' is an insertion indicator.
'i' put within 'ran' is 'RAIN'.
'in' acts as a link.
(Other definitions for rain that I've seen before include "Fall wetly" , "Storm" , "Wet weather" , "The ---, it ---eth every day (T.Night)" , "downfall?" .)