My bignum-fuzzer project [1] runs on oss-fuzz and tries to find mismatches between bignum computations across different libraries (OpenSSL, Go, Rust, etc). This is one example of how fuzzing can be useful even if the underlying language is "safe".
With some small hacks you can also have Go code coverage instrumentation as a libFuzzer counter.
[1] https://github.com/guidovranken/bignum-fuzzer/blob/master/mo...
If you're using goroutines you may want to consider fuzzing with the race detector.
But I think the kinds of bugs found by fuzzing aren't generally security issues in go (I don't know much about go) as they are in C/C++.
EDIT: See guidovranken's excellent sibling comment for how fuzzing can still be useful for go.