This chip is 40 years old or something like that, and it surely doesn't look like it was designed for 5V operation, let alone 3.3V

Search the datasheet for "Vs" or "supply" and you will get some idea of what they guarantee (not a lot) and what they declare about typical performance (a little more).
Most importantly, they show common mode input range for supply voltages of ±3V or higher - basically you need to stay 3V away from each supply rail to expect good operation at all temperatures.
They also show gradual loss of DC gain at less than ±10V supply. CMRR and PSRR may decrease by a similar ratio, but those are not shown.