Removes bearing after running to us (5)
I believe the answer is:
ousts
'removes' is the definition.
(ousting is a kind of removing)
'bearing after running to us' is the wordplay.
'bearing' becomes 's' ().
'after' is a charade indicator (letters next to each other).
'running' indicates an anagram (the letters run around to different places).
'to'+'us'='tous'
'tous' anagrammed gives 'oust'.
's' put after 'oust' is 'OUSTS'.
(Other definitions for ousts that I've seen before include "Forces out of position" , "Removes from office" , "Throws out" , "Drives out, ejects from office" , "Deposes" .)