The Owls and the Blades played out a five-goal academy thriller at Middlewood Road on Saturday.
Wednesday were edged out at the end of an entertaining derby tussle and came within a whisker of snatching a point having trailed 3-0 at half time.
Mason Duffy reduced the arrears before Josh Murray pulled another one back and it was one-way traffic all the way through the closing stages.
Then, right at the death, the Owls thought they had pulled off an incredible comeback when Clarke netted but the strike was ruled out for offside.
Owls: McDonagh, Brown (Foster 32), Stachini, Law, Murray, Beatson, Stobbs, Clarke, Tracey (Duffy 57), Nicholson (Ellam 72), Penney