It is probably wind/gas https://www.healthline.com/health/gas-pain-in-chest#symptoms
Do not worry, unless you get more symptoms that, like difficulty breathing, I would not worry.
Drink plenty of water, there are a few herbal and OTC remedies below for you.
Natural remedies for gas include Peppermint tea. Chamomile tea. Anise.
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Over-the-counter gas remedies include:
If you continue to get the pain each time you take Gabapentin going forward, I would schedule an appointment back with your GP to see your options.