There's some Nordic example code that allows both Bluetooth LE and nRF24-ish protocols to run simultaneously on this chip.

Well, baby steps: I've made a start at porting it to Arduino and to the Nano mentioned above.

So you can exchange messages over nRF24-ish radio whilst also seeing those devices and messages on your phone using a BLE client. You can then send messages back. (And all that on USB serial, too.)

Take a look and see where you think we could take it next - there's a list of things at the end:

https://github.com/DuncanCragg/Onix

Cheers! :-)
Duncan