Senator Mike Dugan (R-Carrollton) thinks they should, and what’s more, he thinks Senators should be term-limited.
In anticipation of the upcoming legislative session, Dugan has pre filed Senate Resolution 734, which, if enacted into law would do just that.
Under Dugan’s propsal, four year terms for the Senate would start in January 2017, after the 2016 elections. Term limits would also be imposed. From the bill:
Beginning with the members elected in the November, 2016, general election, members of the Senate shall be limited to the greater of three full terms of office or 14 years in the Senate. The limitation in this subparagraph shall not apply to any term or part of a term served prior to the second Monday in January, 2017.
If the bill passes both chambers, it would have to be approved by the voters, presumably in the November 2014 general election.