There is no check engine light on an 88, and no codes. My best bet would be one or more small vacuum leaks or loose ground crimps in the wiring harness for the sensors, or loose dirty ground connections on the sensor wire ground connections near the oil dip stick on the block. That assumes the distributor cap, rotor, spark plugs and wires are in decent shape and the ICM/HV coil is OK.
Work long and hard on the tiny vacuum leaks, valve cover gasket, throttle body gasket, loose bolts on the intake-exhaust manifold, and the entire CV vent system, Map to throttle body vent hose and other vacuum hose tubing and hoses, common issue on an 88 and do the same with an ohm meter on all the sensor grounds, using ohms with the engine off. They must be under 1 ohm from the sensor to the battery negative post.
Later check the power to the O2 sensor heater, and the O2 sensor heater itself.