Mimi,
If the
plant light is a fluorescent type bulb, then you can place the Cyclamen within 6 inches of the light and it should be OK. If it is an incandescent bulb, it will generate too much heat to be effective.
Do your bst to keep the room temps as cool as possible. It doesn't have to be cold, but below 70 degrees is best to keep it from going dormant. In addition, warm temperatures are conducive to spider mite proliferation, so be vigilant is checking regularly for these critters.
Do the best you can with the environment you have. It the Cyclamen doesn't make it, there are lots of other
plant choices that are better suited for your particular environment.
P.S. You may be interested in my website at
www.HorticulturalHelp.com and my Indoor
plant Bulletins that I publish monthly.