I was trying to install a hanging lamp in the dining room. The wiring was way too long (the wiring was already quite a bit longer than the chain but I had to completely remove the because the ceiling isn't that high) so I measured and cut the wire, but when I then tried to assemble the lamp at the ceiling I realized I hadn't accounted for the face that the wire has to go through a narrow support tube before it comes out behind the ceiling cover. As a result, when the wire comes through the tube it just barely sticks out, not even enough for the exposed wires to clear. If there was maybe 1/2" more wire I think I would have room for the wire connectors to be connected. I'm not sure how I can splice the wires together because the tube isn't much wider than the wires and I don't think a splice would fit into the tube. Plus, the exposed wired being right at the mouth of the tube would seem to make things trickier.
How can I recover from this mistake and finish installing the lamp?
Update: Here is a picture of the fixture:
I managed to get a bit more slack and put a wire connector on the ground for reference. The hot and neutral wires could use a bit more exposed wire, but I think it will be usable as is. If there was some way I could shorten the single chain link that could fix the problem, as presently I can wire it up to the ceiling if the link isn't taut (but then the fixture is being supported by the wire, not the link.
Second update: I replaced the link with something shorter and now I have enough slack that I can get the wires to touch, but when I put the connector on and tighten it up, it doesn't bite enough against the lamp wire to hold it. Could I possibly splice it directly in the connector?
Final update: After the last update I was able to get both connectors to tighten up properly, one by itself and the other by twisting a bit of extra wire around both wires first. The lamp comes on and doesn't have any flickering or other malfunctioning, so I think we are good.