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"closeness" is also used as a crossword clue. If that's what you saw, the answer is often proximity (9 letters).
Definitions
close or warm friendship
Word origin
From close + -ness.
Used in a sentence
“I thus neglecting worldly ends, all dedicated / To closeness and the bettering of my mind [...]”
Source: Wiktionary, CC BY-SA 4.0
Used as a crossword answer1 curated clues
01“Intimacy”9 letters
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