This word is acceptable for play in the UK dictionary that is being used in the following games:

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n. The state of a being a flunkey

"The coachman was fat and florid, the footman a particularly fine specimen of flunkeydom, and their faces, as the light of my lamps fell upon them -- they could not speak, for they were both gagged as well as bound -- were so convulsed with terror, that I could see they did not look upon me as a friend."

flunked    flunkydom