If you are referring to hybridoma clones, the following two factors can be important in the establishment of stable clones upon fusion and limiting dilution:
1. Presence of feeder cells in the wells into which the limiting dilution was performed
2. Supplementing the HAT medium with conditioned medium (say, 10% spent medium from mouse fibroblast cultures)
Also, supplementing the HAT medium with 20% FBS is recommended to stabilize the hybridoma clones initially.