Mutt!
My thought would be that it's not getting enough light. To my mind, most of your Chlorophytums prefer a really bright light, even some sun, and I would think that especially in the winter when the sun is low, that it would be even more the case. I don't have the 'curly', but my spiders get full morning sun, and produce a lot of 'babies'. And they do dry out somewhat between waterings…I never keep them on the 'moist' side. Hope this helps. And again,
Curly Spider Plant (Chlorophytum comosum 'Bonnie')