Hello,
Let's say we have an OPAMP with a large enough input to sent it to saturation (either pos or neg)
[OPAMP specs: sat_voltage = 10V , max_current = 1mA]
If the load is a cap or a big resistor (or a combination such as Zload > 10K) the output will reach the saturation voltage as long as Zload > Vsat/Imax => Zload > 10/1mA => Zload > 10k.
If the Zload < 10k - lets say 1k - then the maximum current won't be enough to reach the saturation voltage. The output voltage will then be Vo = Imax * Zload = 1mA * 1k => Vo = 1V.
So if the max output voltage is limited by the saturation voltage (read supply voltage) of the circuit, then it is voltage limited.
If the max output voltage is limited by the maximum output current (small Zload) then the circuit is current limited.
Hope it helps!