A friend of mine did some research on the use of two-way radios while driving. The short answer - YES - you may use them while driving.
You are a treat to the public if you touch your mobile phone that's in a cradle while you're stationary at a set of red traffic lights. But it's ok you reach for an grad a Two-Way radio handset, find the right channels, adjust the volume, etc while driving 100km/h on a wet road and going around a corner.

Anyway, below is the link to the Qld Government site.
http://www.tmr.qld.gov.au/Safety/Queens ... rules.aspx
Using mobile phones while driving
Driving with a mobile phone in the driver's hand is illegal, even when you are stopped at traffic lights. This includes making and receiving calls. A driver may use a mobile phone if the phone is not in his or her hand and is attached to a hands-free kit, in a cradle or using wireless headset technology.
Two-way radios and citizens band (CB) radios are permitted.
Note: There is a ban on all mobile phone use (including hands-free) for learners and P1 provisional drivers under the age of 25 years. There is also a ban on mobile phone use on loudspeaker function for supervisors and passengers of these drivers.