Having no pressing needs (3-4)
I believe the answer is:
non-iron
'having no pressing needs' is the definition.
(I've seen this before)
'no pressing needs' is the wordplay.
'no' becomes 'non' (I've seen this in other clues).
'pressing needs' becomes 'iron' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'non'+'iron'='NON-IRON'
Can you help me to learn more?
(Other definitions for non-iron that I've seen before include "(Of fabric) easy care" , "Type of material (probably also drip-dry)" , "Like wrinkle-free materials" , "Like easy-care clothes" .)