There's a lot of history out there if you and your wife are interested.
But - I don't know about the clasp. The only one that's on my grandfather's is for "Submachine Gun".
The unit I went to Iraq with was 2nd Bdr, 28th ID (PA’s National Guard). Big mean steeltown union thugs who loudly declared that and non-Democrat needed to be hung.
We were part of 2nd Marine Division’s area. When we came back, we were offered the chance to wear either 28th ID’s “pain patch” or 2nd MARDIV.
To the last man, we chose 2nd MARDIV - we wanted no association with the 28th. Our First SGt had T-shirts made up: “I Survived Iraq Under Damn Yankee Leadership!”