Is it safe to strip a shared library after linking?

Let's suppose that I got lib.so, I compile the binary mySoft and I link this to lib.so.

At this point, considering that everything is working as expected, It's safe or not to take lib.so and strip it with strip -s lib.so ?

To be clear I'm not interested on linking other binaries to my lib.so after mySoft is properly generated, I'm only interested on keep mySoft working and gain some disk space and maybe a small edge in terms of performances.