Eat so much this gets bedraggled? (9)

I believe the answer is:

moustache

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'this gets bedraggled?' is the definition.
The definition suggests a singular noun which matches the answer.

'eat so much' is the wordplay.
'eat so much' can be anagrammed to 'MOUSTACHE'.
But, I'm not clear how this is indicated.

Can you help me to learn more?

(Other definitions for moustache that I've seen before include "Facial hair growth" , "Hair on upper lip" , "Facial feature" , "Walrus, e.g." , "See 1" .)

I've seen this clue in The Daily Mail.

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