I'll start off by saying Hello,

So I picked up a 1986 Honda Civic, it's the 1.5L Carbureted 5spd manual version. Engine was rebuilt by a honda master tech ~10k miles ago. Really nice car, though the carb is a tiny bit gummed up (not enough to effect driving more than a slight stumble at lower RPMS)

Recently it died while driving, and I managed to diagnose a blown ignition coil. After replacing the coil, it ran for about 5 minutes, then died again. It seemed like the 2nd ignition coil might have been faulty. Replaced that, drove just fine for another day, and then refused to start again. Replaced ignition coil again, worked good, then intermittently deciding not to start. I've replaced the ignition coil, wires, plugs, cleaned the cap and rotor, swapped the cap, replaced the ICM, and repaired any wiring that looked remotely chafed. Managed to get it started last night and jiggled the key in the cylinder to see if the ignition cylinder was bad, but it was just fine. Last night it would start, run for about 3 seconds, and then die, regardless of RPM.

If it helps any, it seems to only have trouble running/firing when it's warm out/in the engine bay. Any ideas where I should look next? I'm out of ideas for where to look.

 

Well, I know you might have it resolved by now, but you already determined your fuel delivery/metering system (carb) is a bit nasty... Best to address that then see what else comes next. Good taste in Hondas BTW