What are first order half life units?
Well, what is time? It had better be in seconds, minutes, etc.
A half-life is just a certain amount of time for half of something to go away / react. Therefore, it has the same units as time does. This does not at all depend on the order of the reaction with respect to the reactant.
Half-life units in 'years' & 'seconds' are the most widely used, but actually, whatever you wish ... sec, min, hrs, days, yrs. The application and one's preference could dictate more appropriate units.
Half life is the time for the concentration of substance to decrease to one-half its original concentration. For some reactions and decay processes, the time for 1 half-life can be in very small fractions of time while some are very large time intervals and expressed in powers of 10.
=> for the isotope Nitrogen-10 (N-10), the half-life can be as small as
=> for the isotope Potassium-40 (K-40), the half-life is reported to be
The point is, although 'years' and 'seconds' are most widely accepted, the 'application' and one's 'preference' can dictate the units for half-life. I'm not sure if there is an accepted rule for this. Maybe someone else can add to this for more clairity.