Learning curve for me is that 'Contact' doesn't mean exactly what I thought it did.
From CAP 413:
CONTACT: Establish communications with... (your details have been passed).
A few times I've been told to "contact" another frequency but get the reply "pass your details" after first contact. Not a big problem as my workload was low at the time. Could have been a mistake from controller - he was busier than me and we all have slight hiccups now and then!
Another option could have been to request an earlier change of frequency to your next unit. Something like "G-CD requesting change to XXX radar 123.45 to arrange zone transit".