Very unlikely to worry a CRO,they are well shielded.
The main thing which we used to worry about were Colour TV,& Computer monitor CRTs,where there was the possibility of causing colour purity errors.
You also may end up magnetising your screwdrivers,etc,which can be useful,or can be a major pain in the neck!

Good Test leads & probes are made of copper & brass respectively,so unless you have some real ELCheapo probes,you should be OK.