The information provided here is not a replacement for a doctor. You shouldn't use it for the purpose of self-diagnosing or self-medicating but rather so you can have a more informed discussion with a professional TCM practitioner.
In Chinese Medicine insect bites can be treated by two herbs that we have on record. Here is the list below.
Because it is a herb specifically indicated to treat insect bites as can be seen on Purslane's page.
Its main actions are: Clears Heat and Cools the Blood. Clears Damp-Heat associated with skin disorders. Treats pain and swelling from insect and snake bites.
Because it is a herb specifically indicated to treat insect bites as can be seen on Flying Squirrel Faeces's page.
Its main actions are: Disperses congealed Blood in the lower abdomen and uterus and relieves pain. Promotes childhood nutrition with Cold Stagnation and focal abdominal swelling.