Am I at a greater risk of complications after breast augmentation since I have allergic contact dermatitis?

You shouldn't be at higher risk of complications from breast implants due to having contact dermatitis. However you should discuss this with your board certified plastic surgeon as your sensitivities may change some of the standard items used in surgery (latex, adhesives, etc).

Not likely to have complications even with the contact dermatitis diagnosis as far as I know. For really specific allergies, patch testing has been done historically to check. Best Wishes!!