Anthony Scaramucci lasted 11 days, thus giving us the unit of the Scaramucci.

Will anyone last less than one Scaramucci in an appointed position, and who?

For appointments requiring confirmation, the clock starts when they're confirmed. If they are never confirmed, they will resolve No when a replacement nomination is made for the position in question.

Candidates will resolve No when they last until dawn (in DC) on the 11th day without being fired. The 11 days includes their first (partial) day, as it did for Scaramucci.

If adding more answers, please link the appointment or nomination announcement with a clear date in the comments.