The tannic acid in a regular tea bag (not herbal) will help stop bleeding. So, a box of tea bags in your cupboard for first aid is probably a good idea.
A plain old moistened tea bag will also help heal a wisdom tooth extraction.
The Cleveland Clinic states:
Bleeding may occur for several hours after tooth extraction. To control it, position a piece of clean moist gauze over the empty tooth socket and bite down firmly. Apply constant pressure for about 45 minutes. A moistened tea bag is an effective alternative. The tannic acid in tea helps healing blood clots to form (blood clots function similarly to a scab on an open wound). Repeat this process if a small degree of bleeding continues; if heavy bleeding continues to occur, contact your dentist or oral surgeon.