OK...so, I'm going to pretend that this fits, because I've seen similar designs before.
The ring from the CPU side has 4 segments you can install the clips into. In each of those four areas are some notches, so once you install the expanding clip, if you chose the right notch, the little wings on the clip should slide vertically down into the four holes on the motherboard. You then insert a pin into the hollow center of the clips, which will expand those wings out to the edge of the motherboard and form a mechanical seal. IE, once the pins are inserted the ring should be held in place really firmly.
Once the ring is secured in all four holes, you basically start the real installation. Clean the surface of the CPU, clean the surface of the heat spreader, dot the thermal paste on the CPU. Press the cooler onto the CPU, install the latch bar that fits onto the ring, and secure the cooler with the latch bar. The ring is held on with the expanded wings of the clip, pushing up on the board. The CPU is pushed down on by the cooler. The latch bar usually pushes down on the cooler and up on the ring...but installation instructions may vary. It's not great for ever being able to use twice...but you've already janked it once...with a 1366 system you've already got a dead socket anyways.
PS:
Uninstall of these is a mess. You basically have to pry both wings on the clips at once, and slide the pin out. I'd recommend a root canal first...but if this is about cheap and dirty then you can at least be assured that these are entirely viable as long as the pins don't get brittle and dry rot...something prone to happening in high heat cycle environments with cheap coolers.