* Optional Accessory Power: This is the most common reason. Many Jeep Wranglers came with optional accessories that could be added, and this wire provides a power source for them. It might be for a CB radio, aftermarket stereo, auxiliary lights, or other add-ons. It often isn't connected to anything at the factory unless an accessory is ordered and installed.
* Diagnostic Port (Less Likely): While less probable in the glovebox specifically, some diagnostic ports for older vehicles might be located near the glovebox area. This is unlikely to be a single wire, though, but rather a multi-pin connector.
To know for sure:
1. Trace the wire: Carefully follow the wire to see where it leads. This will tell you what it powers or connects to.
2. Consult your owner's manual: Your owner's manual might have a wiring diagram or mention additional accessories.
3. Check online forums: Jeep Wrangler forums (like JeepForum.com) are a great resource. Search for posts about glovebox wires in a 2005 Wrangler. Someone else might have encountered the same wire and identified its purpose.
Without visually inspecting the wire and its connections, it's impossible to give a definitive answer.