How old is your daughter? It makes a real difference with things like this. My son is two years old, and I have no idea where or when he learned to read a clock but apparently he has learned to read the hours and half hours...

He loves to look at the clock and say "it's ten-thirty!" or such, and he's inevitably right about it. The thing is, most two year olds couldn't care less about what time it is-- he only cares because he wants to know when Dadda is coming home from work, or when we're going to visit his grandparents, etc; he noticed that these things happen around the same time of day, so he asked about it (I guess that's when he learned to read a clock...

). He still doesn't care about money, except to stack coins up or feed them to his sister's dinosaur bank.
If you don't want it to be contrived, you have to think about how time and money are relevant to her life. Does she want to know when things will happen, or how much money she can spend on x/y/z? What sort of things does she care about? Grocery shopping may be very interesting to her or very boring to her; likewise, a trip to a toystore or bookstore may or may not be relevant to her life. These things vary, not only by age but by personality and situation.