How does floating supplys factor in?
If the supply is truly floating then connecting the ground clip to either side just moves that side to ground potential.
No current is needed to do this (ok, maybe fractions of pico amps) anyway, its fine.
The problems occur when you connect the ground clip to something you thought was floating or already at earth and it turns out not to be. One common way this happens is when you have a floating circuit but you have connect it to some other device. For example an audio cable from your device to an amp/PC, the audio shield is grounded through the amp so now your circuit isn't floating any more.
If it's a low voltage thing you're measuring, and you short that to ground, you may only see a small spark when touching the clip to the circuit. You should always watch for this spark when connecting the ground clip.
If you try and connect the scope ground clip to something at full mains potential you'll get a large bang/spark and it will probably blow a fuse or circuit breaker somewhere. If you're lucky the scope will still be ok.
The reason I'm asking is I want to measure some signals (RPM signal from the ECU specifically) on my car - to see what voltage and frequency it is.
How are you planing to run the scope in the car? an extension cord inside or an inverter off the car battery.
The car is floating so if you run the scope off an extension cord to a mains socket in the house everything is fine.
You could then safely connect the scope ground clip to any part of the car since it's all floating.
However, if you run the scope of an inverter that's powered by the car battery things maybe different. It will depend whats inside the inverter. I can't remember how they do earth if at all. (it may/maynot be fine as well)