Drooling is a common symptom of teething. If your baby is drooling, the constant drip may cause chafing, chapping, redness and rashes around their mouth, chin and neck.
Simply patting the drool away will help keep this at bay. Also changing wet clothing will help.
You can also create a moisture barrier using a gentle, unscented skin cream, there are plenty on the market.

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Your baby may seem more bothered by teething pain at night when there are fewer distractions around for them. It’s the same reason adults can feel more chronic pain at night.
Sometimes it can be difficult to tell whether your baby’s unsettled behaviour during the night is actually due to teething, so be sure to talk with your health care professional if you have any concerns.

Teething can cause bleeding under the gums, which may look like a bluish/red lump or bruise in your baby's mouth. This is called a teething blister or eruption cyst and may appear before your baby’s tooth cuts through the gum.
These blisters usually go away when the tooth appears and don’t need any treatment.

Don’t be tempted to try and pop the blister.
Let your dentist or health professional know if your baby has a blister and no tooth comes.