i beleive i heard many years ago when back when oakland co sheriff was on 155.730 they called it a( disposition) may be wrong kinda like some pd will ask for time and numbers for the report i will ask my cousin that works for OC sheriff
From what I have encountered, it's when an officer responds to a call and doesn't have to write up a full incident report. It is mostly true when they arrive on scene and find that no crime has been committed or something that would need to be dealt through the civil courts.
d-card = dispatch card. Orginally from the days of mechanical time stamps and dispatching without CAD. There is usually a spot for notes or a short narative.
"clear with a d-card" is when the officer just adds info to the card, and a full report is not needed.