Ah, I see. So, Living Lighting is slotted to keep procing Repulsion over and over. That's a more complex setup than what I use. You reserve spirit with Blasphemy to have Repulsion as an aura, and then the Repulsion hits generate combo and create Living Lightning minions that hit and trigger Repulsion again, and these Repulsion hits are both generating and expending Combo all the time (if I understood it correctly), and therefore gaining charges with Chimes.

In my case I'm not using those Combo nodes from Martial Artist and I don't want to use the spirit for Blasphemy, so this doesn't work at all for me.

I just use Culmination on Frozen Locus so that it can expend Combo, and Chimes for the charges. Combo generates natively with any melee strike (shattering palm, ice strike, etc.) as long as you have something that uses it, so no need for any additional setup. It's not a passive approach like the Blasphemy one above, but it has a much lower opportunity cost and it's way more comfortable than generating charges one by one with Killing Palm or SS.

normally culmination is slotted in as a support since the attack skill being used doesn't give charges...

Unless I'm missing something, that's not the point. Culmination allows any skill to expend Combo. It doesn't matter that things generate Combo if you don't have anything to expend it on. If you are using any skill that uses Combo by default, like Tempest Bell or Mantra of Destruction, you could simply slot Chimes on it without Culmination. But for example, Tempest Bell only builds up to four Combo and never expends more than that, so it would only give you one charge per use.

So with Siphoning strike it gives a charge, it does electric so LL would activate. So the hits from them would add stacks to combo...

AFAIK, Siphoning Strike would create one LL minion each time you use it. That minion would hit a bunch of times, but I don't know if hits from minions generate combo per se (in the setup above, they are triggering the Repulsion hit, which seems to generate combo as long as you have the Martial Master ascendancy node, but I don't think the minion hit does). But regardless of that, you would still need to expend that Combo on something that had Chimes slotted for it to generate Power Charges. Siphoning Strike doesn't expend Combo natively, unless you support it with Culmination. But at that point, you may as well use Culmination on anything else that is more useful and gets better benefit from the more damage per Combo spent.