We see in KoD, ch.8, that Mat already considers that at least the Eelfinn, the Foxes, have a connection to him and can see through his eyes, because of the memories he got:

"Somehow only the Light knew, the Eelfinn had gathered the memories they had planted in his head, but how could they harvest memory from a corpse? A corpse in the world of men, at that. He was certain they never came to this side of that twisted doorframe ter'angreal for longer than minutes at a time. A way occurred to him, one he did not like, not a scrap. Maybe they created some sort of link to any human who visited them, a link that allowed them to copy all of a man's memories after that right up to the moment he died. In some of those memories from other men he was white-haired, in some only a few years older than he really was, and everything in between, but there were none of childhood or growing up. What were the odds of that, if they had just stuffed him with random bits and pieces, likely things they considered rubbish or had done with? What did they do with memories, anyway? They had to have some reason for gathering them beyond giving them away again. No, he was just trying to avoid where this led. Burn him, the bloody foxes were inside his head right then! They had to be. It was the only explanation that made sense. [...] Having those foxes in his head was a thousand times worse than the dice however hard the dice rattled. Could the Eelfinn see through his eyes? Light, what was he going to do? He doubted any Aes Sedai could Heal him of this, not that he would trust them to, not when it meant leaving off the foxhead. There was nothing to be done. He would just have to live with it. He groaned at the thought."

One can certainly expect that Mat, Thom & Co. will want to plan how to beat the Finn during their waiting time in Caemlyn. The topic of a possible link will certainly reoccur then. Maybe during such a talk Birgitte will give some hints about the eye, since she seems to know the Finn quite a bit.

Plus, as said, the foxhead medallion also has only one eye. I think it's never explicitely mentioned, but it might very well be the left eye. This could be the connection to make between the Foxes and the left eye. Mat being the gambler could decide to risk cutting out his left eye to destroy the link.

Besides that, it's possible that Egwene and Elayne will talk in TAR (though it's said that Elayne can't go there very often being pregnant), and Egwene tells of her Dream about Mat placing the left eye on the scales. And Mat got of course the hint from the Aelfinn to give up half of the light of the world, which he might interpret correctly as one eye.