Iwobi was in action for 90 minutes in the thrilling encounter.
The former Arsenal player has now featured in 14 league games for the Toffees this season and scored once.
Richarlison gave Everton the lead inside five minutes when he headed Djibril Sidibe’s cross past Kepa Arrizabalaga.
Chelsea dominated possession afterwards but were unable to find way past the resolute Everton defence.
The hosts doubled their lead four minutes after the break when Calvert-Lewin robbed Kurt Zouma before slotting through Kepa Arrizabalaga’s legs.
Three minutes later, Chelsea got themselves back in the game when Mateo Kovacic fired in a pinpoint low effort from 25 yards, but their comeback hopes were quelled late on when a defensive shambles allowed Calvert-Lewin to poke home for his first Premier League double late on.
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