He becomes the second player to re-join the club this week, following the announcement of Sam Topliss.
Lacey returns to the Owls for his second stint, after joining Scarborough and then Matlock Town for the 2019/20 season.
On the move, Lacey said: “I enjoyed my time at Matlock. However, the travelling to Derbyshire is lengthy and the chance to play for Clee again is a fantastic opportunity."
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