As long as the temperature didn't go up, you're probably fine.
I re-greased an i5-3570K last night. It was using the stock cooler and Dynex thermal compound, and I didn't have any temperature problems, it was just part of a general tune-up/clean-up. I used Antec 7 on it this time, and my load temperature went from about 60C at 22C ambient to the mid-70s. Something clearly went wrong, so I re-did the compound, and the temperatures got back to normal. Maybe a degree or two lower, but I didn't check the numbers carefully. I'm calling that good.
It's only if your temperatures climb after applying new compound that you have a problem.