As on Saturday, only one new summer signing - Connor Barron - featured in the Rangers starting XI, which speaks volumes about the pace of the squad rebuild manager Clement has craved.
That scenario in addition to uninspiring pre-season displays, plus the weekend draw with Hearts and the temporary relocation to Hampden, have prompted discontent among supporters.
Before the match former Rangers midfielder Derek Ferguson said he had "never seen the fans as low".
That mood was poised to hit rock bottom with the clock ticking towards minute 94, but the small pocket of travelling fans were ecstastic when Dessers caressed in Vaclav Cerny's fine cross.
The striker had been denied prior to his leveller when his glancing header was tipped away superbly by Heorhiy Bushchan, whose involvement throughout was limited because of poor decision-making in the final third from Clement's men.
Earlier, the Ukraine goalkeeper watched Ross McCausland strike his right-hand post with a stunning first-half effort, which came just minutes after Vladyslav Vanat had been denied an opener by the offside flag.
The impressive Vanat was then on hand to set up Yarmolenko for the opener after Ridvan Yilmaz was dispossessed in his own half.
Rangers were guilty of giving up possession and being too easy to play through in spells, but their unquestionable work-rate forced the Ukrainians into their own errors.
It looked like Clement's side would not be rewarded for that effort until new signing Cerny highlighted his pedigree off the bench to provide Dessers with a potentially defining moment in the tie.