You've probably read through the 28 articles that are found for a search for "VSTBY" in this forum.
This one details that the clock doesn't seem to work at 1.8V - there are others comparing the contradictions in quoted VSTBY specifications in the data sheets you should also check. Also the ones static the part won't even start with a "high battery voltage" (3.6V).
Re: MCF52259 RTC details
> I'd like to leave VSBTY floating.
i think that would be a bad idea. Leaving pins floating always causes problems. I would suggest you design the circuit with "optionally installed zero ohm resistors" so you can connect it to anything (ground, Vdd, diode, battery) by installing the right links. Previous posts indicate that on some chips (not this one) an unused VSTBY should be (or can be) connected to ground, but you'll have to perform "archaeology" on all of the Reference Manuals to try and work out yourself if this is a "feature" of the part or another bug/omission in the documentation.
The Data Sheet and previous posts notes the VSTBY current changes when Vdd is on or off, and that indicates there is a "power switch" in the part. The Reference Manual also implies a switch:
7.3.2 RTC Mode
In normal operation, this oscillator is powered by the VDDPLL and VSSPLL pins.
When the part is shut down, this oscillator is powered by the VSTBY pin.
When it doubt, always copy the Reference Hardware Design. If they have jumpers on VSTBY to somewhere to install when there's no battery, then that's probably the right way to do it.
Tom