floating ground on ICs?

I'm about to embark on a DIY interconnect project - some have suggested a floating ground is a good idea - ie, connect the outershield to one end only, float the other - to draw noise away from the source components.
None of my components are 3 prong AC BTW -except maybe the TV. Is it safe to have an entire system that is just two-prong (sonographe/CJ SA250 is amp - uses hardwired zip cord - will upgrade that someday also.)

Anyone using floating grounds on ICS that can comment on the safety and sound issues ? Planning to make ICs for DAC > preamp and preamp > amp.
That would be a floating shield, not a floating ground. It's not a safety issue because you have to have a ground connection from one component to the other with single ended connectors or it simply won't work. It will however hum very loudly.

At a minimum you need 2 wires. The hot from the center pin of the RCA and a return (or ground) from the outer. Without these 2 it won't work. Some cables also have a shield around them that can be connected at both ends to the ground, or connected only at one end, or not connected at either end for that matter, but usually either one end or both.

Since you are building your own I would try it both ways and see if you can hear a difference.
Post removed 
I stand corrected - I was refering to floating SHIELD not ground - so there is not really a safety issue. any comments on the sound? I don't think too many manufactures do their ICs this way, do they?
I don't have any idea how many do it but it is an accepted practice. Since you are building your own you can easily incorporate small switches in a pair so you can connect/disconnect the shield to see if it makes any difference. Some claim it even makes a difference which end is floating.
Either do it as Herman suggests -- but make sure the distance b/ween shield & wires is at least 2x the wires diametre and that it covers as best you can the complete length of the conductors to the connectors.\

Or just make them w/out shield and try out. CAVEAT: if you do that, don't leave a component completely unconnected -- i.e., when changing IC's, always have one connecting IC between components.
some have suggested a floating ground is a good idea - ie, connect the outershield to one end only, float the other
That is not floating the shield!
It is MANDATORY that you do so with single-ended cables, because connectong the shield to the RCA ground on both ends just creates a low-resistance bypass for the ground wire in that cable. Most shields are quite hefty relative to the hot and ground wires, so most of the "return" current will flow through the shield, if connected on both ends, rather than through the ground wire, as intended by the designer.
This bypass path will DISRUPT the correct operation of the cable!!! Many cables are designed with a balanced geometry so that the electromagnetic fields induced by the currents in the hot and ground wires actually cancel each other. The parallel bypass through the shield may not behave the same way - it will become more like a coaxial design.
It may sound fine, some coaxial cables do... It would be just a "funny" implementation of one...

BTW, you should mark the end where the shield is grounded, so that the stereo pair would be grounded exactly the same.