Maybe not exactly what you're looking for, but in Half-Life 2, Chapter 9: Nova Prospekt / Entanglement, Alyx and Gordon infiltrate a Combine base to rescue Eli. This culminates in an escape through the use of the Combine's own teleportation technology. The revelation here is semi crucial to the narrative and lore pertaining to the Combine Empire's limitations: their teleportation technology is technically archaic in comparison to the advances made by both Black Mesa and Aperture Labs. Black Mesa's teleportation technology slingshots through and around Xen, while Aperture's is limited to mostly local wormholes. Both are relatively instataneous. The Combine's engineers and scientists, however, have been unable to resolve space/time/dimensional complications in the way their teleportation technology works, resulting in a "delayed" teleportation method appears instantaneous from the observer using the teleporter, but in actuality has external time pass for other observers. In this case Gordon and Alyx escape Nova Prospekt, but arrive back at Kleiner's lab a week after leaving and right in the middle of a civilian uprising. The implication here is that the Combine Empire's reliance on teleportation and dimensional transport, of which they've used to conquer multiple dimensions, has the limitation of time. If the Combine are put under pressure from an opposing force, they cannot readily call in external back up. They are, in a sense, "cut off" from reinforcements. It is partially why (or assumed why) they're pursing Black Mesa technology, and is an integral plot point of Episode 1 and 2, and likely why the cliffhanger of Episode 2 was the Combine seeking advanced teleportation tech hidden in the Borealis build by Aperture.
In reality, the time skip was because Valve ran out of time and couldn't get the interim levels up to scratch, and so bolted together a plot device that would explain Alyx and Gordon jumping forward a week into the middle of a war.