US general's the dregs (4)

I believe the answer is:

lees

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This might be a double definition.

'us general's' is the first definition.
'Lee's' can be an answer for 'general's' (Lee is an example). I'm unsure of the 'us' bit.

'the dregs' is the second definition.
(thesaurus)

Can you help me to learn more?

(Other definitions for lees that I've seen before include "Sediment from fermentation of alcohol" , "Grounds" , "Knock back these dregs of liquor" , "worst part" , "Sediment from alcoholic drink" .)

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