Litotes in a sentence as a noun

He is trained in understatement in all things; he has litotes coursing through his veins.

Unlike the litotes in your Orwell quote, "not uncommon" and "common" mean different things.

Of course, all litotes can be interpreted literally, and you often need context or tone to convey the meaning

He knew all the tricks, dramatic irony, metaphor, bathos, puns, parody, litotes and satire.

It's the rhetorical figure called "litotes" and has been common in many languages now and throughout linguistic history.

It's called "litotes", and it often conveys a distinct meaning compared to "collapsing" the negatives into a single positive.

The ironic form of simile, used in sarcasm, and some forms of litotes can emphasize one's meaning by the deliberate use of language which states the opposite of the truth, denies the contrary of the truth, or drastically and obviously understates a factual connection.

Litotes definitions

noun

understatement for rhetorical effect (especially when expressing an affirmative by negating its contrary); "saying `I was not a little upset' when you mean `I was very upset' is an example of litotes"

See also: meiosis