The name Σοφοκλέης/Σοφοκλῆς is very family, but there are surprisingly few compounds with σοφο- as a first member (contrast φιλό-σοφος, etc.). LSJ knows σοφο-τέχηνης from an inscription of 149 AD, σοφό-νους as a nonce-word in Lucian (Colvin 2007: 270-271, no. 92), and cites the curious σοφιβόλος from P.Oxy. XVI 1873 (actually a ghostword: ἀ<μ>φιβόλον is now read instead of σοφιβῶλον), but reports no others.
That inscription ends with a Roman date (by consuls and with reference to the Ides of No(v)ember) in a dative (!) absolute: Ὀρφίτῳ καὶ Σοσ|σίῳ Πρείσκῳ ὑπάτοις, εἴδοις Νοεμβρίαις. Jannaris (1897: 499-500) cites several examples, but not this one.
The Revised Supplement, p. 279, reports σοφο-διδάσκαλος from an inscription from Sardis.
E.A. Sophocles, pp. 1001-1002, reports σοφό-δωρος (and a feminine counterpart in -δοτις) and σοφο-ποιός with its derivatives, all from Pseudo-Dionysios.
The onomastic data confirms the rarity of σοφο- compounds:
Λαϝόσοϝος is falsely returned (see CEG I 444). ]
All of this serves to underline that the Teacher of Rhetoric's suggestion that one should sprinkle in words like σοφόνους is comical. There too χειρί-σοφος is recommended, which appears as a name 4x. Colvin translates 'cheirosophic'.