I don't know what the combined move would be as a fighting technique.
It starts of with what I'd describe, in pair figure skating, as a pair spin.
It would then be followed by one person being thrown after momentum had built up. So, possibly just spin and throw.
The act of building up something's momentum and then releasing it in a redirected trajectory (sometimes due to an actual spin) is also described as a slingshot:
2 a : a maneuver in auto racing in which a drafting car accelerates past the car in front by taking advantage of reserve power
b : a dragster in which the driver sits behind the rear wheels
Although the definition wouldn't seem to apply (in fact, I've always thought of that maneuver as drafting), the word is used in Merriam-Webster's first example sentence to describe principles of centrifugal (or spinning) force:
// In fact, this tortuous trajectory necessitated gravity slingshots around Earth, Venus, Earth, and finally Earth again before moving toward the outer Solar System.
// — Eric Berger, Ars Technica, "A congressman’s loss clouds the future of two demanding missions to Europa," 3 Dec. 2018
Oxford Dictionaries has a more directly relevant definition of this sense of the word:
[mass noun, often as modifier] The effect of the gravitational pull of a celestial object in accelerating and changing the course of another object or a spacecraft.
‘stars passing near a black hole might be ejected by a gravitational slingshot effect’