see under strange bedfellows.
These Plain Words Have Very Odd Origin StoriesOver the years, these words have gone on a journey from signifying creepy, strange, antithetical, and even paranormal ideas to taking on the standard meanings we know and understand today.
The American Heritage® Idioms Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.
Examples from the Web for odd couple
This is the storyline of Almost Human, Fox and J.J. Abrams's odd-couple police drama.‘Almost Human’ Review: A Dystopian Future That We’ve Seen Before|Chancellor Agard|November 17, 2013|DAILY BEAST
On the surface it is an odd-couple pairing: the University of Montana Democrat and the Oxford-educated Conservative.