The Enlisted Surface Warfare Specialist Designator, like all
Navy Warfare emblems before it (Submarine Dolphins, SEAL Trident
device, etc.) is worn on the left breast of the uniform above the
ribbon devices, if any are authorized.
However, if the member is qualified in more than one Warfare
Specialty, the current warfare specialty the member is working in
takes precedence for uniform requirements. For example, as a
Submariner, I of course had Dolphins to wear once I became
Qualified in Submarines, but we did have the occasional skimmer
(surface navy guy) go insane and volunteer for the Submarine
Force.
If he was Qualified as an ESWS, and then subsequently became
Qualified in Submarines, he would wear the Submarine Warfare badge
(Dolphins) in the normal spot above the ribbon device, since he was
currently serving in the Submarine Force and not the Surface Navy.
The ESWS badge would then be worn underneath the ribbon device.