Can I reuse a live rodent trap?
Most commercial live traps are made of metal or plastic materials. If you have concern about the scent of previous animals keeping others from entering the trap you always have the option to wash down the unit with a bleach/water solution. This could be applied with a spray bottle and then washed off with the garden hose. 

My past personal experience with a home brew box trap that I made out of plywood and wire mesh, used to catch racoons, was that the human scent needed to dissipate and not the animal scent. That took a day or so before food in the trap would lure in additional animals.