"having overseen" is correct and usable in written English.
You can use it to describe having finished or completed a task. For example: "Having overseen the project, the manager now had to review the results."
He is intimately familiar with this investigation, having overseen it from day one.
Campion follows Steven Spielberg onto the Croisette, the US director having overseen last year's festival.
The retail brokerage business is one that Mr. Gorman knows well, having overseen both Merrill Lynch's and Morgan Stanley's units.
Archbishop Dolan is well known at the Vatican, having overseen the main North American seminary in Rome.
Heath has been in this expansion position twice, having overseen Orlando City's transition to M.L.S. two seasons ago.
She tells me she is "ecstatic" about the new book, having overseen its production from beginning to end.
He goes into his last game in charge having overseen only five wins from his 15 matches.
And having overseen the Philharmonia's VR project from inception, Salonen is still impressed with its capacity to surprise.
He said he was proud of his accomplishments, having overseen 65 new productions and 19 Met premieres.
Now, having overseen the company's return to new facilities, he has decided it is time to step aside.
The author, Nicky Hager, accused Mr Key of having "overseen a government involved in more personal attacks and negative politics than any in living memory".
