Thank you for using JustAnswer.com for this very important question on moving impactions out of a young bearded dragon. Below is a method that has worked many times and is suggested to try before surgery is needed providing he dragon is not in distress
Here is a method that we have used several times now with bearded dragons that has worked. You need to move the impaction down and out
It may take several days using the above method to get him to move an impaction down and out. You do have some time to work here before it becomes risky to him. DO not let it go more than 10 days, (less if the animals is showing other signs of distress amd then you should have a vet check him and supervise any attempts to get it to move) if the impaction has not passed by then, he may need to have enemas to try and move the impaction out (WHICH SHOULD ONLY BE ATTEMPTED BY A VETERINARIAN!) and also he will need a fecal run on it to determine if the impacted food created bacteria when spoiling in him. IF this does not move the impaction you will have to consider surgery as the last option.
Once the impaction is out, it may take several weeks for him to regain the full use of his back legs and eating, so don't panic if he is still not moving then, it will take that time for the inflammation around the spinal cord to go down and they will usually regain the use slowly
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If the impaction is low enough, it might.... you need to be careful you do not perforate the intestinal wall. Since he has passes some, this looks very promising if you can get him hydrated enough, he can get it all through. You have not said what caused the impaction... if it is anything that had chitin shelling like superworms or mealworms or something sharp like a substrate that has been ingested the massaging could cause it to do damage if any pressure is applied, So just keep it to very gentle to encourage waves and not any pressure.
With enough hydration, a bit of oil, some runny food and the heat, that should work to move things on through. once that is complete, you need to keep to soft foods for the next few days it can happen again easily until he heals. You also need to try and figure out why he got impaction and change that.
Possible causes are too large prey item, too little fluid intakes, heat too low, enclosure too small, too much food at one time or ingesting substrate Usually it is more than one that contributed to it and a change in those will help avoid it in the future.
Very best to you and him/here, sounds like you are doing good!
Resting on your finger is okay and very gently tracing your finger down her tummy is okay also. Give the soaks, heat and oil some time to go through, sometimes it takes a few days to flush out an impaction( if you can get it to move)
Play sand for any bearded dragon is risky, but even more so for young dragons as they are messy eaters and love to taste everything (that includes their substrate) . I do not use or recommend any particle substrate be used on baby or young dragons. Owners are advised if they want to try it, to wait until they are older and watch them closely when you add it in. Contrary to what many people tell owners, sand is not their natural environment, a hard packed type clay is along with shrublands, rain corridors and other humid type substrates.
They can safely go on a good quality reptile carpet, non adhesive shelf liner, paper towels, butcher paper, tile or linoleum. Here is a young dragon set up of Shelf liner, reptile carpet and paper towels.... as you can see, very safe and clean,