Is the statement true that there is divine jealousy over the hearts of the Auliya (saints) and Arifeen (gnostics) lest anything other than God should dwell therein?

The statement is correct if by "residing with" (مسَاكَنة) is meant relying upon causes, not merely utilizing them. For causes are a path that must be trodden, but the gnostic (العارف) does not reside with them. Indeed, the utilization of causes is an essential matter, both religiously and customarily. However, "residing with" them, in the sense of relying upon them, is not befitting for the hearts of gnostics.