Laundry accessory increasingly just not opening (5)
I believe the answer is:
airer
'laundry accessory' is the definition.
'increasingly just not opening' is the wordplay.
'increasingly just' becomes 'fairer'.
'not opening' means to remove the first letter (the opening letter is removed).
'fairer' with its first letter removed is 'AIRER'.
(Other definitions for airer that I've seen before include "Clothes horse" , "Clothes drier" , "Clothes-drying frame" , "Broadcaster" , "I rear (anag) - frame for clothes" .)