One's fleece, on fire leaving kitchen, has charred sleeves (4)

I believe the answer is:

lamb

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But I can't explain it at all! Could you help me understand?

(Other definitions for lamb that I've seen before include "Exemplar of innocence" , "Young shee" , "Sweet and innocent child" , "Young creature" , "Agnus Dei - . . . . of God" .)

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