Picture the strap that runs under a horse's belly to hold the saddle on. You pull the slack out of it until nothing can move, and then you get on. Every use of cinch can be thought of as living somewhere along that strap: the strap itself, the act of pulling it tight, the result that now cannot slide, and — one step further — a job so well tied down that it costs you nothing. The word even arrived in English as a strap: the source traces it to Spanish cincha, a belt or girth.
From the word’s history
The source traces cinch to Spanish cincha, a belt or girth, and further back to Late Latin cingula and Latin cingulum; it is a doublet of cingle. So the strap is not a metaphor here — it is where the word starts.
來源把 cinch 追到西班牙語 cincha（腰帶、肚帶），再往前是晚期拉丁文 cingula、拉丁文 cingulum，並說它跟 cingle 同源。所以那條帶子不是後來想出來的比喻，是這個字真正的起點。
Wiktionary entry for cinch, etymology 1, supplied in this packet: "Borrowed from Occitan cencha, from Latin cincta, or from Spanish cincha ('a belt or girth'), from Late Latin cingula, from Latin cingulum. Doublet of cingle."
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