Dai Young nearly got the Quins job not Conor many years ago they were the last two on the short list so he is not likely to apply again. Hope he is being paid as he has sacrificed everything for Wasps when they nearly went under and paid for equipment for the team.
That's over 10 years ago, though, and the entire management team and nearly all the playing squad have changed since then (IIRC only Browny, Danny, Marler, Lambo and the Robshaws remain from that era).
This has also come at an awkward time for Dai in that the post-RWC reshuffles are largely done. If he is leaving Wasps (and that's not entirely clear - all they have said is that he's stepping back and it's not clear why yet or whether it's permanent), then he's probably in a position where it makes sense to consider any that might be on offer. Which doesn't necessarily mean there's one at Quins.