Ah, well apparently, we're mixing terms. Hue/Sat, Invert, and other operations found on the Image > Adjustments menu are not generally referred to as "effects," so I misinterpreted your intentions.
To reuse an adjustment, you would want to apply it using an Adjustment Layer, which could subsequently be copied like any other layer, or moved/grouped in the layer stacking order to affect additional or select pixel-content layers. If you apply an adjustment by invoking its dialog via the Image > Adjustments menu, it's usually a one-off commitment that can't be recalled, except in cases where the particular adjustment, (i.e., Levels or Curves), dialog includes Save and Load buttons.
All of the vim with none of that annoying vigor.