As long as we are talking about new dimmers it does save money.
Look at it this way, in order to consume electricity work must be produced. That work may be heat, light, motion etc.
With a new dimmer less light and less heat is being produced this means less electricity is being consumed.
The old dimmers as has been mentioned 'made' heat to reduce the voltage reaching the lamp, therefore the savings was either non existent or small. I am not sure exactly.
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Personally I have two 250 PAR 38 floods at my back door, I have these rigged on a dimmer and they run very low every night. I don't notice them on my bill which I am sure I would if I ran them full all the time.