The specific requirements of an xyz-wing render the technique rather limited in its application. However, after the underlying logic is understood, it can be used as a building block in conjunction with other simple logic to solve puzzles. We can use xyz-wing to extend our thinking and help us to logically identify cells for candidate elimination; which normally would not be possible.

Consider this example

r3c9-r3c1-r1c2 is an xyz-wing of 9. But, there is no elimination available at the intersection r3c2 or r3c3 since the cells are already occupied by 5 and 2 respectively. However, simple logic tells me that if r3c9=9 then r2c4=9. With this piece of additional information, the intersections of the xyz-wing can now be extended to cover cells r2c1, r2c2 and r2c3 also. This allows a 9 to be eliminated from r2c1 and r2c3; and the puzzle can be easily solved from here.

With simple xyz-wing:

When r3c9=9 => r3c2,3 not=9.

When r3c9=7 => r3c1 & r1c2=89 => r3c2,3 not=9.

With this extended xyz-wing (xyz-chain):

When r3c9=9 => r2c4=9 => r2c1,2,3 not=9.

When r3c9=7 => r3c1 & r1c2=89 => r2c1,2,3 not=9.