Like Jack Sprat's wife, presumably? (3)

I believe the answer is:

fat

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'like' is the definition.
Both the answer and definition are adjectives. Maybe you can see an association between them that I don't see?

I cannot understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for fat that I've seen before include "Excess body weight" , "Adipose tissue" , "and 24: Overpaid City type" , "Obese, overweight" , "Overweight, stout" .)

I've seen this clue in the Evening Standard.

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