i have never heard of someone getting an Under Honorable Conditions purely for a dental disqualification. It sounds like there was something else. Whether you will be able to reenlist is totally up to a recruiter, but I doubt it.
This post is for information purposes only and does not constitute legal advice, nor does it establish an attorney client relationship with Mr. Cassara.
Only a recruiter can answer the question concerning rejoining. It will also depend on your reenlistment and separation codes on your DD 214 as well as your characterization of service and the circumstances surrounding your separation.
Those two data points will tell the story of your options.
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You may be able to simply reenlist. Depending on what your DD214 states- you may require a waiver. If the discharge was based on any type of misconduct than a military recruiter will evaluate whether on not you are qualified based on the underlying misconduct charged versus the actual outcome of the case. Unfortunately, in a lot of cases whether or not you are able to enlist may depend on how much effort the recruiter is willing to put forth. Recently, I had 2 clients who were working through similar issues so that they can enlist. Give me a call, I would be happy to discuss your options with you. The initial consult is always free. Additional information is available on my website. Good luck.