It depends on the amount of spring force and the intended set distance of the heatsink clamp. The various heatsink/clamp/fans systems I tested had no issue without the Opteron's lid.
Have you managed to damage a CPU die from heatsink clamp usage? Much of the PIII series came without a heat spreader. I never damaged any.
If it is about aesthetics and collectable value, I get it. If not, then be [mentally] prepared for the CPU to overheat again in a few years, especially if you are in the habit of removing the heatsink, putting it back, removing the CPU, etc. Consumer Silicone glue has some give, and with repeated on/offs, it will loosen, which may not be visually apparent. The silicon then acts has a spacer, pushing against the heatsink's clamp, thus, preventing proper heat transfer. It might be OK if you leave the heatsink on and never remove it again. This was what happened when I did this operation. I ultimately removed the heat spreader after about a year or two and the problems went away.
Good luck.
Plan your life wisely, you'll be dead before you know it.