Frenotomy is a procedure that involves having the frenulum snipped to rectify the tongue-tied condition. It is a minor surgical procedure but could still be traumatizing for an infant (and of course, the parents). Potential complications would include ulcers under the tongue, bleeding, infection or damage to the tongue and salivary ducts.
If I’m not mistaken, there are some breastfeeding positions and some exercises that could help mobilize the baby’s tongue and improve tongue mobility. These could be tried in place of performing the surgery.
Typically, for mild cases where feeding is not affected, and if baby’s tongue could reach his/her teeth (quite likely that speech development would not be impeded), surgery is probably not necessary.
I think it is best to bring your baby to your doctor or lactation consultant for their assessment and professional input.