Ignore bishop, then leave in a hurry (5,3)
I believe the answer is:
brush off
'ignore' is the definition.
(I know that ignore can be written as brush off)
'bishop then leave in a hurry' is the wordplay.
'bishop' becomes 'B' (abbreviation for bishop in chess).
'then' is a charade indicator (letters next to each other).
'leave in a hurry' becomes 'rushoff' (I've seen this in another clue).
'b'+'rushoff'='BRUSH-OFF'
(Other definitions for brush off that I've seen before include "Curt rejection" , "Snub" , "Casually dismiss" , "fox's condition after hunt" , "Rudely dismiss" .)