Running one wheel with clincher and one with Tubular I have a carbon clincher wheelset and am looking to get a disc wheel, but don't want to spend the money for the clincher version. Would there be any foreseeable issue with running one wheel with a clincher tire and the rear with a tubular? Should I get the same tire in Clincher and Tubular when purchasing tires if this is safe to do?

If flat takes you out of the race, then there is no big reason not to do this. As noted, the biggest reason not to is having to carry more flat protection.

You might even decide to purposefully choose different tires - a bit heavier in the rear for a bit of puncture protection, something that adapts to wet a bit better in the front for steering when it starts to drizzle, etc.

Bottom line, not a safety concern.

Happy Riding.