Kitchen tool of more importance, we hear (6)
I believe the answer is:
grater
'kitchen tool' is the definition.
(cheese grater)
'of more importance we hear' is the wordplay.
'of more importance' becomes 'greater' (great can mean important or significant).
'we hear' indicates a 'sounds like' (homophone) clue.
'greater' is a homophone of 'GRATER'.
(Other definitions for grater that I've seen before include "kitchen equipment" , "Kitchen utensil" , "It makes small bits of food" , "kitchen instrument" , "Kitchen device" .)