In Scotland or Northern England, 'oxter' is understood and used, but elsewhere it might be confusing. When in Edinburgh, I overheard someone saying they got tickled in their oxter.
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Archaic Term
'Oxter' is old-fashioned and rarely used in modern English, except in some regions. Grandpa referred to his armpit as his 'oxter' and we all chuckled.
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Informal Speech
Using 'oxter' could add humor or a quaint touch in informal situations. I'm sweating buckets; even my oxter is damp!