Lord's tenants having relations evicted - that's mean (6)

I believe the answer is:

middle

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'that's mean' is the definition.
(I've seen this in another clue)

I cannot understand how the remainder of the clue works.

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(Other definitions for middle that I've seen before include "Median" , "(A person's) waist" , "Centre or core" , "Centre point" , "A fine person" .)

I've seen this clue in The Independent.

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