In Chrome and as for now the Datalist only appears when typing or double clicking on the input element, e.g. http://jsfiddle.net/r7Y4v/
I\'m trying to m
How about something like this? Since Chrome does place an icon on hover I placed this image so that it would be in the same spot.
input[list]{
background-image:url('data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAAJCAYAAADtj3ZXAAAAB3RJTUUH3wMHFxkH6cbPfQAAAAlwSFlzAAALEgAACxIB0t1+/AAAAARnQU1BAACxjwv8YQUAAABaSURBVHjaY2RgYDAA4jkMxIEsID6FLrgOiP8TwNNwmSgNxJ/xaDwPxGz4nJSDQ+MHIFYn5B9mqA3omsOJDA9w4P1B0jiTWI0wMIFYf2IDPEB8gxh/4jOAIAAAbfwl/FxzevIAAAAASUVORK5CYII=');
background-repeat:no-repeat;
background-position:right;
background-origin: content-box;
}