Is it possible to have a cyst in your wisdom tooth?

Yes, around tooth: Yes, it is fairly common for cysts to form around and under wisdom teeth, especially impacted ones. The treatment is to have the impacted wisdom tooth removed by an oral surgeon. If the cyst is infected they may place you on an antibiotic for a few days to shrink the infection as much as possible prior to extraction.

Dentigerous cyst: When a tooth has not erupted into your mouth it has a 'sac' around it. If it does not erupt, there is a chance that the sac will enlarge. If it is sufficiently large, it will be classified as a cyst. It is usually called a dentigerous cyst. The cyst may undergo transformation into a tumor or in extreme case cancerous lesion. It is advisable to have the cyst checked with your dentist.