Charles and Edward briefly pursued (6)
I believe the answer is:
chased
'pursued' is the definition.
(chasing is a kind of pursuing)
'charles and edward briefly' is the wordplay.
'charles' becomes 'Chas' (shortened form).
'and' means one lot of letters go next to another.
'edward briefly' becomes 'Ed' (short for Edward; 'briefly' asks for an abbreviation).
'chas'+'ed'='CHASED'
(Other definitions for chased that I've seen before include "followed" , "Engraved; rushed" , "Pursued or engraved" , "Pursued at speed" , "Pursued, ran after" .)