Certified GKH Gardening Expert
Can you include a photo? This is quite impossible. There are no species of citrus that have vining qualities. What you may be seeing is a lack of light. This will cause them to stretch quite tall. This will eventually kill them, as they will not be able to support their own weight. There isn't really a good way to correct this, once it has happened. The best thing would be to start over, and give the seedlings a very powerful horticultural grade light. Each mature tree will need at least two hundred watts to thrive. You can use a single 100 watt until they stretch beyond the light cast, when you will have to get more lighting.
If you are in an area where they can be grown outdoors, then you will want to let sunlight do its job, as it will be the best quality light.