Run into a pole, possibly (4)
I believe the answer is:
lope
'run' is the definition.
(I know that lope is a more specific form of run)
'a pole possibly' is the wordplay.
'possibly' indicates an anagram.
'pole' is an anagram of 'LOPE'.
'into' is the link.
(Other definitions for lope that I've seen before include "Run with long steps carrying pole" , "Run boundingly" , "Run slowly with pole" , "See 18" , "Run with long bounding steps" .)