In and of itself, the cable with bypass should be well damped. What else it connects to (at each end) matters, and can screw with this; but...
The "pairs" impedance is around 100 ohms. The impedance between single wires in different pairs will be higher, maybe 150 ohms. The inductivity of free space is 1.257 uH/m at the impedance of free space (377 ohms); so the inductivity of the odd pairs should be around 0.5 uH/m. The propagation velocity of this mode is probably in the 0.8c range, due to capacitive loading, which is factored into the impedance; therefore the inductance should be higher by this, or 0.625 uH/m. So, a 10m run is about 6uH.
I think that's right?
So whatever bypass you use, you should want to make sure it's well damped; 0.1uF paired at either end against 6uH is an impedance of 11 ohms (the capacitors act in series; Z = sqrt(L/C)). You could put 11 ohms in series with one, but that would allow ripple; if you put 11 ohms in series with a larger capacitor (>3x the value) and connect that across the first, you can mostly dampen it. You can do this at one or both ends. The effect is to have impedance rise slightly at some crossover frequency, but having it go "thud" instead of "ding", and to have a modest to low impedance at all other frequencies.
In principle, you should connect a few uH from your outside circuit to the line, so the line can be somewhat isolated from the unknown circuit. In practice, this would be a silly length to go to. I don't know what your supply looks like, but some general advice: do avoid large, low ESR caps (polymer and ceramic), going instead for tantalum (stable, controlled ESR), or ceramic with a resistor, for the bulk capacitors.
As for your signals -- I2C, note that the capacitance (8.84 pF/m * 10m * 377/100 / 0.8 = ~417pF, but that's per pair, not one wire against all others, which is probably slightly more) limits how much clock speed you can run at, and, if you ever have to pass EMC, expect it to be hopelessly messy in the 0.15-10MHz range (even with ferrite beads or other filtering on the driving pins; for which I would suggest 300 ohm 0805 FBs and/or 220 ohm series resistors -- place the pull-ups before the series resistors, if you can). Let alone susceptibility, which is probably trashed for any kind of stimulus. If you must do it this way, use four conductor shielded (at least foil screened, but foil and braid is even better), and ground the shield at the enclosure (if you have a metal enclosure), or lead it down to a shielded connector on the board, with the shield connected directly to the board ground plane (it has a ground plane, right?).
If anyone else is still reading... FYI, the same precautions are necessary for USB. That's why it's fully shielded in even the cheapest cables (though the way they terminate that shield might suck), and still limited on length.
Tim