Start off haughty meeting a cleaner (5)
I believe the answer is:
loofa
'cleaner' is the definition.
(I've seen this before)
'start off haughty meeting a' is the wordplay.
'start off' means to remove the first letter (I've seen 'starting off' mean this (the starting letter is removed)).
'haughty' becomes 'aloof' (I've seen this before).
'meeting' says to put letters next to each other.
'aloof' with its initial letter taken off is 'loof'.
'loof'+'a'='LOOFA'
(Other definitions for loofa that I've seen before include "One in bath" , "Firm sponge" , "Something for the bathroom" , "Gourd used as a sponge" , "Bath sponge" .)