If it has a display on it, look for a key icon on the screen along the top. It may be a clue.
Programming wise, it's hard to say without knowing if they are on some sort of system and what it is. At my office, we are on a connect plus system. We had setup encryption on one of our channels (or so we thought). I was messing around with a software decoder and SDR receiver and noticed I could listen to everything our crew was saying. The system operator had no idea how. Discovered a check mark that was not checked in a part of the software that was wrong. Now, this is just a weird thing with Connect Plus, because it works trough an option card. On our radios, a key with a / trough it meant encryption setup but not enabled, without the / meant enabled, and our clear to talk tone was different. This was using the enhanced encryption.
I have run encryption on simplex radio to radio digital channels as well, so it's going to be hard to say without some more info.