CAT5 is really like antenna cable. It is designed for connecting low current RF signals between boxes over long (up to 330 feet) runs. For over 500 mA DC, I personally would not go less than 18 GA. Stranded of course. Like Svart sed, you have to consider the resistance of the wire, and solid wire is not good for power interconnects. It is found almost exclusively behind walls and tacked down-electrical, alarm, data, telco, control, doorbell, etc. Stranded is flexible and gives more conductor surface area for HF noise conducting on the chassis/ common wire/s.
Can you do it? Sure! Someone ran ribbon cable under the carpet around his studio to feed cue mixers, like it was multipair, unbalanced I think, and it works. I could never sell that to a client, same as a CAT5 power cable.
Mike