to hold firmly to something -- such as an object, a person or idea
…were all to be calm, and of course Bert didn’t mean— But really, it was true; they had to be sensible, and how Mr. Arrowsmith could expect to support a wife— The conference lasted till nine-thirty, which, as Mr. Tozer pointed out, was everybody’s bedtime, and except for the five-minute discussion as to whether Miss Ada Quist was to stay to supper, and the debate on the saltiness of this last cornbeef, they clave faithfully to the inquiry as to whether Martin and Leora were engaged.
There are no more uses of "cleave" identified with this meaning in the book.
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The New Testament quotes the Old Testament twice in saying, "Therefore a man leaves his father and his mother and cleaves to this wife, and they become one flesh."
Therefore shall a man leave his father and his mother, and shall cleave unto his wife: and they shall be one flesh.