"I buy a clock with money."
You generally have quite some freedom with how to order noun/particle combinations. Switching order should be no problem here.
I answered in that order and it was marked correct. However, i can see further down the comments, user Trissie suggests that order is important in this case. Google translate backs that up; I plugged in とけいをお金でかいます and got "I will charge money by watching".