We all know that the heating part of the drying cycle consumes huge amounts of power.  During warmer weather or when it is warm inside your house, you can dry your clothes on a drying rack and after they are dry, run them in your dryer's fluff cycle which does not use heat.  Tumbling your clothes for 10-20 minutes can make them fairly soft and close to what you would expect from using the dryer.

The advantage here is that you are not engaging the heating element which typically is the equivalent to fifty 100 watt light bulbs!  That is a huge amount compared to just tumbling your clothes for a while to get them soft.