The Archers and such, say, on the radio? We gobble them up! (7)
I believe the answer is:
cereals
'we gobble them up' is the definition.
(type of food)
'the archers and such say on the radio?' is the wordplay.
'the archers and such say' becomes 'serials' (The Archers is a long-running radio serial).
'on the radio?' shows a homophone (sound like) (I've seen 'on the radio' mean this).
'serials' is a homophone of 'CEREALS'.
(Other definitions for cereals that I've seen before include "Eg, wheat, rye, oats" , "Foods such as rye, wheat, etc" , "Stubbornly unmoving" , "Breakfast foods" , "Grain foods" .)