I've got a question for those who have applied for DXO position while still employed elsewhere... is there any need to notify current employer while doing so?

I wouldn't have until something's more confirmed (currently waiting to do PT); what gave me pause was the personal particulars form, where they ask for things like all your supervisors' names and contacts (including current one). They won't start doing reference checks at this stage, surely?

(Is there a point where they do, though? Would rather supervisor find out from me than from random MINDEF personnel...)