F3G- Roger!
No probs!
Fuji-
I'd agree! ATC in this case, is at fault. Guess they were having a bad day?! I know some extremely good ATCOs who WILL get their readback, even if it means spoon feeding the pilot "G-XX YOU NEED TO READBACK THE CLEARANCE... not above, QNH, report etc" or that will correct you: "G-XX NEGATIVE, cleared... etc".
In the interests of flight safety and particularly if the other aircraft is likely to interfere/conflict with you, then yes, you should ask ATC to confirm the clearance.
If this sort of incident is a regular occurence at your club/school/airfield, why not speak to the school CFI or Ops/Training Manager in Air Traffic?
Perhaps an RT refresher evening for club members?
Remember, flight safety is EVERYONES responsibility!