I agree with woxof., with only an additional bit of info. At the approach control where I work, there is a VFR tower in our airspace in addition to the tower we are co-located with. The VFR tower has to call for all IFR departures. If they were to call with a "departure end RY**" for the IFR aircraft, that would suffice for RADAR identifying. This is to ensure that the primary target I see is actually the IFR aircraft, and NOT the transponder beacon. Since this is a pain in the neck (and elsewhere) I am required to have the aircraft ident UNLESS he states his position. Remenber, if you state your position and the controller observes a target return in the corresponding location, this qualifies as radar identified. The three types of RADAR indentification are position correlation, thirty degree or more turns, and ident.
As far as clearances go, if you read back the code, you'll get 'readback correct' the same as if you read the entire clearance. Just be sure you wrote the rest down without errors! I have given an airborne pilot a transponder code, and got no reply. I called him and asked if he got the code. He rudely responded "I'm squawking it now, can't you see it?!" I informed him that I was a little busy to watch and see if he got it and got it right.
As always, try to remember that even though you don't hear anyone else on the freq. it doesn't mean that there aren't other freqs. that the controller might be working. At my facility, we have six. When they all come out of the same speaker or into the same headset, having someone rumble and stumble through a clearance can affect the controllers ability to listen for errors, especially when other pilots key up on a different freq.
A little sidebar, on one of the recordings there is the case of the midair between the Cessna and the low wing (Seminole, saratoga, piper whatever...) Interesting note that the controller calls possible traffic to the Cessna, a few moments later, the low-wing calls with a mayday, midair. Do all you pilots realize that with NEXGEN if there was any system failure of the onboard equipment required by NEXGEN in the low-wing, the controller would NEVER have seen the target/traffic for the Cessna and issued traffic? Any aircraft without the equipment or with malfunctioning equipment would be invisible to NEXGEN. It's not RADAR! Talk about stealth!