This is pretty much the same answer given by Adinkra to your last question. Similarly to Ionia, de Saumaise says about Polycle (or Polyde, as the manuscript appears to say, if it's not a ligature) that he doesn't think it exists:
urbem istoc nomine in Italia nullam scio.
I know of no city in Italy with this name.
It's probably an error (see below). If it's not an error, one tantalizing possibility is that he was referring to Policoro, which in antiquity was called Heraclea. The issue is one of names. I've yet to find a solid source that places that name in Solinus' time. It might just be a coincidence.
However, editors of Solinus have emended the name to read Polieon, not Polyclen. This connects it to the city of Siris, which Strabo says was formerly called Polieon:
On the Siris there used to be a Trojan city of the same name, but in time, when Heracleia was colonised thence by the Tarantini, it became the port of the Heracleotes. It is twenty-four stadia distant from Heracleia and about three hundred and thirty from Thurii. Writers produce as proof of its settlement by the Trojans the wooden image of the Trojan Athene which is set up there — the image that closed its eyes, the fable goes, when the suppliants were dragged away by the Ionians who captured the city; for these Ionians came there as colonists when in flight from the dominion of the Lydians, and by force took the city, which belonged to the Chones, and called it Polieium.
I think there's a greater likelihood of this being a manuscript error than it to refer to Policoro, especially given how late that name is.