Ancient and medieval Jewish commentators do have something to say about this, but if the OP implies that Lamech killed his wives' lovers, I found no commentary suggesting this. However, I also don't see anything in the text that precludes this interpretation.
Accord to Radak (Rabbi David Kimhi)
Lemech, who was the first one to marry two wives, was also the first
one of whom disagreements between him and his wives have been
recorded. The two wives were jealous one of the other so that Lemech
had to scare them that he would kill them if they would disturb his
domestic peace.
Other rabbinical sources speak of the two women being fearful that Lamech, being of the seventh generation from Cain, was unprotected from vengeance from those Cain had harmed. (Based on Gen. 4:15) For example, Ibn Ezra assures his wives that he protect himself from attack:
The rabbis tell us that Adah and Zillah were afraid to bear children
because they feared that their offspring, who were the seventh
generation from Cain, would die or be killed as punishment for Cain’s
sin. Therefore Lamech said to them, “I am in truth the seventh
generation and if a man would wound me or a child bruise me, then I
would kill them…"
Ramban (Nachmanides) explains the same scenario with Lamech comforting his wives by appealing to God's mercy and protection.
Now Lamech’s wives feared to bear children because they would be the
seventh generation to Cain, but he comforted his wives by saying that
G-d would be forbearing with him for yet seventy-seven generations
because he would pray before Him, for He is long-suffering and would
have mercy upon him…
The Midrash Tanchuma, Bereshit 11:2-4 identifies Lamech's (accidental) victims as two close relatives - his ancestor Cain and his own son - perhaps implying that he was simply reporting this tragic fact to his wives:
Cain became an angel of death, wandering and roaming about, accursed. Lamech, his
descendant in the seventh generation, who was blind, would go hunting
led about by his young son... One time the lad said to his
father: “I see some kind of beast in the distance.” Lamech sent his
arrow in that direction, and Cain was slain. As they approached the
corpse, the lad... said to his father: “The corpse resembles a man.” Thereupon, Lamech cried out: “Woe
is me, it is my grandfather.” In his grief, he clasped his hands
together, and accidentally struck the child’s head, killing him…
Summary: Jealousy is mentioned by at least one rabbinical authority, who says that Lamech tried to scare his wives into keeping quiet by boasting of his having killed two men. But his wives' fear that their husband would be killed is the predominant explanation for Lamech's statement, which was designed to assure them that there was no danger. Yet another explanation is that Lamech was simply expressing to his wives his heart's agony at having killed both his ancestor and his son. I could find no commentary indicating that Lamech's victims were his wives' lovers.