After a Tummy tuck procedure, will the fat cells travel to other parts of your body?

The fat cells will not go elsewhere after the tummy tuck  procedure. The fat cells that are removed are gone forever, however the remaining fat cells can increase in size with increased weight gain. Therefore it is important to maintain a healthy lifestyle with diet and exercise. 

No, your fat cells will not travel
to other parts of your body. Keep in mind that if you gain weight after your
surgery however, the new fat could be deposited anywhere on your body. Therefore, I recommend keeping up a healthy lifestyle to preserve the positive changes made to your body during surgery. Best regards.

After and abdominoplasty in the sizable amount of fat reservoir that is removed with most procedures, provided body weight is maintained there will be no deposition in remote areas.