Manual covering grill superficially and cooker for the most part (5)

I believe the answer is:

glove

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'manual covering' is the definition.
'glove' can be an answer for 'covering' (glove is a kind of covering). I'm not sure about the 'manual' bit.

I cannot understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for glove that I've seen before include "On-hand children's entertainer?" , "Noisy disturbance" , "Hand-cover" , "Covering for hand" , "something a boxer uses" .)

I've seen this clue in The Guardian.

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