Hunger kept a stovetop covered in fat (7)
I believe the answer is:
greased
'covered in fat' is the definition.
'greased' can be an answer for 'covered' (greasing is a kind of covering). I'm not certain of the 'in fat' bit.
'hunger kept a stovetop' is the wordplay.
'hunger' becomes 'greed' (I can't justify this - if you can you should give a lot more credence to this answer).
'kept' indicates putting letters inside.
'stovetop' becomes 's' (top of the word 'stove').
'a'+'s'='as'
'greed' enclosing 'as' is 'GREASED'.
Can you help me to learn more?
(Other definitions for greased that I've seen before include "As palms may be" , "got moving with gun?" , "well lubricated" , "Facilitated" , "well buttered" .)