According to Wikipedia, Xenophon mentions an Eucleides on his list of the Tyrants, and there is also an Eucleides named as Archon the year after their overthrow, but I'm uncertain if it's just a coincidental name, a mistake on Xenophon's part, or whether the same man then managed to get himself elected Archon the year after he was ousted.
These Eukleides were different people.
It is not a mistake: Xenophon lived through those times.
It is not the same person: under the peace negotiated by Pausanias and the presbyteria sent by the Lakedaimonians, the survivors of the Thirty, the Eleven, and the Ten were not allowed to return to their homes, but had to retire to Eleusis, an Athenian deme on the Megarid border, along with any of the oligarch party that felt unsafe in the city. While nominally a part of Athens, Eleusis is far enough away from the city proper that it is semi-autonomous. The settlers there were not allowed to enter Athens proper, the astu, nor were the Athenians allowed to enter Eleusis except to participate in the Mysteries. No one who settled at Eleusis could hold office in Athens until he registered as resident of the city. It was only two years later that a final reconciliation was made. (The Aristotelian Athenaion politeia)