It seems like the principles are similar, holding clamp at the bottom for lift-off and one on the top to set it upright. Compare for example this set-up of the Electron at Launch Complex 1 pad A with the set-up of the Falcon 9 at KSC pad 39A.
It also matters which launch pad you compare with ofcourse, Falcon 9 mostly launches from SLC-40, but also from 39A at Kennedy Space Center and pad 4E at Vandenberg Airforce Base. While Rocket lab has Launch Complex 1 with Pad A & B in New Zealand and Launch Complex 2 in the US.
I don't know too much about the Falcon 9 pads, but you can see the four way pins of Electron at Pad A in New Zealand in the picture below. You can clearly see 2 of the 4 way pins, link to picture with wider view of same set-up:
I am not 100% on this, but if you look at Electron's bottom there seem to be 4 structural points on which these clamps rest/to which they attach. (Pic taken from rocket lab's site)
The image below is the best I could find of Rocket Labs Launch Complex 2, not sure if it is the same, although you'd expect it to be and it looks very similar.
PS: I actually found a stack answer that goes pretty in depth on the Falcon 9 clamps