noun
unexpected benefit; sudden profit
Refers to a windfall or an unanticipated gain, often financial but can be used more broadly for any lucky break.
宝くじで思わぬきりを得た。
I got an unexpected windfall from the lottery.
その取引は会社に大きなきりをもたらした。
The deal brought a huge sudden profit to the company.
The word is a compound of 奇 (ki, 'strange, unexpected') and 利 (ri, 'profit, benefit'), literally meaning 'unexpected profit'. The exact historical derivation is uncertain, but the kanji spelling reflects the meaning.