You may be exceeding allowable/design temperatures in various avionics and equipment bays. While I doubt you'll find smoke billowing out of the boxes, you may well be frying some components, causing increased deterioration. That's eventually going to show up in higher maintenance costs AND higher than nominal failure rates.
And if those latter get too high you'll end up with uncertifiable rates of failure compared to the effects.
All those hot and hung starts described earlier probably didn't do much good to the engines concerned. Do it often enough and your IFSD rate is going to go up.