Hold your horses dismissing household? I beg your pardon! (5)
I believe the answer is:
sorry
'i beg your pardon' is the definition.
(I've seen this before)
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for sorry that I've seen before include "I beg your pardon" , "Feeling regret" , "Word of apology" , "My apologies!" , "Rueful" .)