This is actually a good idea. Both the penny and the nickel actually cost the treasury more than a penny and nickel respectively to mint and issue. Also, given our minimum wage laws, even if a worker were to bill by the minute, the smallest increment would a dime. i.e., if you are paid .10¢/minute, you are only making $6/hour.
Here's what I think we ought to do from a monetary perspective:
The biggest problem with dropping the nickel is that it can cause rounding issues. (i.e., a dime won't divide evenly into a quarter. There used to be half-dimes, but they were not favored in circulation, mostly because of size issues. At the time we had actual constitutional money.)
It is probably easier to re-adjust the value of the denominations (deflation so pennies and nickels actually buy stuff again). It is just a bad sign when your lower denominations disappear; while people remember the Spanish peseta and Italian lira, many don’t know that in decades past they had “cents” as well - and they ALL disappeared. For Italian lira, the lowest denomination may have been 10 lira by the time they were replaced by the Euro - and Italian billionaires became mere millionaires.