Stock left inside oven (4)

I believe the answer is:

kiln

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'oven' is the definition.
(I know that kiln is a type of oven)

'stock left inside' is the wordplay.
'stock' becomes 'kin' (I am not sure about this - if you are sure you should believe this answer much more).
'left' becomes 'l' (common abbreviation).
'inside' indicates putting letters inside.
'kin' going around 'l' is 'KILN'.

Can you help me to learn more?

(Other definitions for kiln that I've seen before include "Pottery-firing oven" , "Drying furnace" , "Oven for firing bricks" , "Oven for firing ceramics etc" , "Pottery furnace" .)

I've seen this clue in The Irish Times.

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