Ignition clicks but engine doesn't turn over on 1989 Corolla which is more likely starter or starter solenoid?

the starter, the starter solenoid only supplies power to the starter.. if accessable try to tap on the starter with a hammer with moderate force this will some times cause the internal workings to rotate slightly allowing the starter to turn over.. This also sounds like a dead battery. Usually when your battery dies, all the more your hearing is your Solenoid clicking. If this is not the case, follow the directions above, i strongly agree. BUT.. it could also be a faulty solenoid, it will click, but will not push any power to the starter. If this continues, i would replace the solenoid first, being that it's more probable, and less expensive. If it actually is the starter, oh well.. you spent like 20.00 on a new solenoid (if even that much), and you know it will not go out on you in the future. You may also want to check your power cable leading to the starter to make sure there is no short(s) on it due to insulation being melted off or whatever.