In Texas as of 2014, there is no waiting period to remarry someone that you've divorced. However, if you wish to marry a person other than the one you have just divorced, there is a 30-day waiting period.
The 30-day waiting period for marrying a third party can be waived by a judge, at the judge's discretion. If a marriage occurs before the 30-day waiting period is over, the new marriage can be invalidated. As a result, most marriage lawyers in Texas recommend waiting until the end of the 30-day period before marrying a new person. Although there is a history of marriage waiting periods in Texas, there have never been any waiting periods to remarry the same person after a divorce.