I check in the forum somewhat frequently but rarely post. I'll be getting an 87 IDI in the next month, so you guys may see me around more
Anyway..
I would say to use a manifold gauge set and check to see if there is pressure in the system. My guess is no, or hardly any.
If there is above 12 PSI in the system, then the compressor should be able to click on, even for a short time.
If it IS above 12 PSI, check to make sure the low pressure cutoff (which is on the right side of the engine compartment by the radiator core support IIRC) has power and continuity in it. If it has power on both sides, then you should check the compressor for power and continuity.
If it is at 0 pressure, look around for wet spots on all the AC lines. The system is pretty basic and easy.. Compressor, hose from compressor to condenser, condenser to evaporator (with the orifice tube between it), then the evaporator to the filter / drier (or accumulator) and then from the filter/drier to the compressor.
Check each junction for leaks. Any oil residue is likely a leak. Anything wet is probably the source of your problem. On the soft rubber lines there are usually crimp fittings, and I've seen those go bad also. The condenser is a good place to check because it's basically the first thing that bugs and rocks hit when they go through the grille.
The orifice tube is a pretty good indicator of system health. It's the first filter in the system and will grab all the ****** that floats through the system. You can check it by using one of those spring connector tools on the high pressure line going in to the firewall to break the seal, then there is a double o-ring fitting that you have to twist apart.
The orifice tube can be pulled out with pliers. It has screens on the input side that from my experience will clog with junk if your compressor is going out. If it's fine, then fix whatever leak you have and put it back together.
Once all that is done, and you've fixed the leaks, then you're supposed to pull vacuum before charging the system. I usually pull vacuum for a half an hour or so, then let it sit for a while and make sure that it hasn't leaked before I fill it up.
I have used the variable orifice valve as opposed to the fixed orifice tube and I personally think it is a great investment. Some people may not like them for whatever reason, but I've always had great luck with them.
Also, if you're going to be leaving the system open for any amount of time make sure you plug the hoses with a rag or something to make sure you don't get a lot of air circulating in the system. The filter/drier has a dessicant in it which will absorb moisture in the air.
Umm... also, I'd say to replace any o-ring you come in contact with when taking the system apart. When you replace them I'd suggest dipping them in compressor oil to get a good seal and reduce the chances of pinching the o-ring upon reassembly.