Technically possible but not foreseen by the manufacturer, not recommended, and out of warranty.
Signify supports 1M extensions via a 4-pin connector (
https://www.digitec.ch/en/s1/product/philips-hue-gradient-ambiance-erweiterung-multicoloured-100-cm-led-strips-16467481), or shortening every 25cm, but not reconnection of cut segments.
In fact, the internal manufacture allows it to be shortened every 12.5cm.
The 25cm segments can probably be reconnected by soldering 4 wires or connectors like the original one at the end of the Lightstrip, but this is not an easy operation on a flexible PCB, and the diffuser will probably also be damaged close to the solder in order to reach the circuit. It's trickier than on the Hue Lightstrip Plus/V4.
Basically, we really don't recommend it, and if the screen clamp only covers about ten centimetres, it's easier to simply leave the part of the Lightstrip behind hidden.
See the articles on hueblog.com to see the inside of the Gradient Lightstrip:
https://hueblog.com/2021...https://hueblog.com/2020...