The pro of term limits are that representatives don't have to spend a lot of time trying to get money for the next election That is the only pro I can think of.
The cons of term limits are many.
1. Term limits are anti-democracy. Voters who want to reward their representative by continuing his or her job are prohibited from doing so. Big government is telling you who you are allowed to vote for.
2. Term limits guarantee that no one will have experience. In most professions, experience is a good thing.
3. With Citizen's United, the new people running will be unknown, and the person given the most money from the Koch brothers, Soros, or any billionaire will prevail, because that person will be given the most air time and have the most billboards, etc.
4. There will be no motive for the representative to truly represent his/her constituents because it doesn't really matter. Which means the incentive for representatives to be corrupt or negligent increases.