even if you passed voltage supply absolute maximum and common mode range, there's one thing you need to watch out... differential input limit. i check TLC082 its forgiving at ±VDD differential input limit, meaning you can put 0V on -ve input and Vdd at +ve input and the opamp will be still ok, there are few (usually higher bandwidth, cfb or more expensive opamp) that cannot tolerate this even if its within Vsupply or common mode range, their differenctial limit is close to zero or 1-2V at most. so some opamp if you put (or mistakenly wires or unintentionally enforce or clipped to such condition doesnt matter they are all semantically meaning the same to the spec and result will be the same) 1V at one input and 5V at another input (thats 4V differential), even if your supply is 12V to -12V, the opamp will burn, done that.