A pressing household chore? (7)
I believe the answer is:
ironing
This clue is a double definition.
'a pressing' is the first definition.
(I've seen this before)
'household chore?' is the second definition.
(I've seen this before)
(Other definitions for ironing that I've seen before include "A housework chore" , "Laundry job" , "Making clothes smooth" , "Laundry work" , "Pressing clothes" .)