Arrive, running around stream (5)
I believe the answer is:
river
'stream' is the definition.
(I know that river is a type of stream)
'arrive running around' is the wordplay.
'around' says the answer is hidden in the clue.
'RIVER' is hidden in the letters of 'arrive running'.
(Other definitions for river that I've seen before include "Waterway" , "course of 1d [ADVENTURE]" , "Dee, Exe or Wye, say" , "It flows" , "Flowing water" .)