Interesting. Opus had this to say:
"When the embryo breaks symmetry — head from tail — the information for where each cell is does come from outside: morphogen gradients, signals from neighbors, mechanical cues.
Maintaining an already-established identity is a different job, and it’s done from inside the cell. Once a cell has become a fibroblast, it keeps itself a fibroblast. That’s why you can rip a fibroblast out of the body, drop it alone in a dish, and it stays a fibroblast and makes more fibroblasts forever. No neighbors required.
In the Reik-lab reprogramming work, isolated middle-aged fibroblasts in a dish were pushed partway toward pluripotency — they temporarily lost their fibroblast identity — and then reacquired their fibroblast identity, apparently from epigenetic memory held at enhancers and some still-expressed fibroblast genes.  Read that carefully: a lone cell, no surrounding tissue, lost its identity and found it again from a reference stored inside itself. If the context lived in the neighbors, that cell could never have recovered — there were no neighbors."