Clement cut a frustrated figure throughout the first half in particular, having started Igamane, Jefte, Nicolas Raskin and Ross McCausland - who scored against Malmo off the bench - in an attempt to keep his squad fresh.
They failed to create any chances of note initially though, and it took a moment of magic to find a way to goal.
Hibs found joy down the sides and in behind, and as they often have in the past year or so, Rangers needed heroics from their goalkeeper.
The Belgian manager showed his discontent with a double change at half-time, with Raskin and McCausland both hooked.
Misplaced passes and a lack of intensity led to increased consternation from the home support as the second half went on.
It felt like Clement's side were going through the motions. There was no real zip to them and they are still to prove they can produce consistently high levels of performance.
After the high at Malmo in midweek, this felt like a missed opportunity to build momentum, despite the result.
Rangers had fewer touches in the opposition box than Hibs, and had a lower xG tally than the visitors, highlighting their lack of cutting edge and attacking threat.
The introduction of Dessers in the second half provided a much-needed presence up front, and he must have thought he had scored late on, only to see Josef Bursik almost miraculously parry his header to safety.
Rangers are back in European action on Thursday, as they welcome Europa League opponents Lyon to Ibrox (20:00 BST).