Not very effectively. Shivering is a last-ditch attempt by the body to generate heat in it's own muscles to try and ward off increasing cold, but the operative words are "last ditch" - it just doesn't help much if one is really chilled.
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muscular activities produce heat, shivering is a muscular activity; like exercising so therefore heat is produce to keep you warm.
Shivering when you are warm can mean that you have a temperature - however you would usually 'feel' cold but 'be' warm for this to be the case.