Tosh,
In making cymbidium divisions, I always recommend leaving 3-5 connected green bulbs per division. The leaves on your single bulb and new growth are just not getting enough support from a larger division as a whole and have to rely solely on the cut/broken roots on the bulb. It will survive but it will take a longer time to flower, maybe as long as 3 years..
Many people do not realize that Cymbidiums, as well as many other orchids, have pseudo-bulbs not true bulbs. Big difference.
CL