They can go out socially Graduation night, as a 3/c and a 1/c.
Officially.
Yes, relationships that flout the regs occur - fully-formed relationships sprout up like mushrooms after a rainstorm after graduation, and surely the basis for that was laid during the time when it was a forbidden social relationship.
As Hoops noted, going to Ring Dance would be an open act of misconduct, with the senior in the relationship taking the higher proportion of responsibility and punitive consequences. Ring Dance is a military event held on the Yard, and officers and enlisted leaders often attend. I did, and enjoyed talking with upper class that I knew when they were looking pretty darn good and enjoying themselves. Parading a 4/c under the noses of leaders duty-bound to enforce MidRegs would not impress me as being the common sense choice.