Yes. The one case I've seen that seems relevant was some Irishman with a double set of passports, who didn't declare his double set of passports. This was found to be in violation of thee DoD policy, and the clearance he sought was not granted.
Note that there is no "must not issue" here, an applicant can apply for approval for his foreign passport, which this applicant had not done.
Do we know Perle holds dual citizenship with Israel?
Not really. To be a dual citizen, in this sense, requires two valid passports. And yes, many nutcases take the Israeli right to citizenship for Jews to be dual citizenship.
In any case, Perle had clearances up his nose until he retired. And his retirement had nothing to do with impropriety, but rather that he was writing a book and preparing other publicity - in short, he wanted to be free to speak his mind. Which, incidentally, is also why Franks retired.
As to Perle, I can think of only four way’s he could have acquired Israeli citizenship.
1.-Born there to American parents. Unfortunately he was born in New York. That’s out.
2-Yes, New York, born to Israeli parents! Unfortunately in 1941 there was no Israel and thus no Israelis. Doesn’t work either.
3-His family moved to Israeli and became citizens, conferring citizenship on Richard. Could be, but if that was true I’ve a feeling we would have read about it. Every hate site on the net would be trumpeting it.
4-He moved there himself and became an Israeli citizen. See 3, I’m sure we’d know about that, and it would be a serious security issue.
Guess I’ll wait for the evidence to be posted to the thread, along with the info on the denied security clearance, but I suspect Perle’s “dual citizenship problem” is nothing more than the Jews are disloyal canard.