Sides in women vary greatly. 5mg is a good place to start for their first run, unless they are after mass, then maybe 10mg. But whatever is fine, the important thing is that they are aware of the possibilities. Mild increase in facial hair is probably what men would care the LEAST about, because we don't have to pluck it, but something that women would probably care the MOST about. Clitoral growth isn't probably going to be that noticeable until a few cycles, but understand, even if you don't notice it is growing, it still IS, just very slightly. Virilization isn't like sides men get, it always happens, just at a different rate in some than others. Var is a good choice because they can stop and get it to clear quickly if anything starts happening at too fast of a rate.
When you introduce an androgen into the female body, it compensates by raising estrogen, this increase in estrogen is generally masked by the androgen, however once she stops there will be some estrogen rebound.
I definitely wouldn't recommend it just for reducing bodyfat, doesn't make sense.