There are a lot of good reasons why either or both of those things should happen, including reducing potential conflicts of interest with a legislator's "day job," opening the legislature to people who aren't able to find jobs willing to let them spend half the year or more in Hartford instead of at work, increasing the amount of time legislators can spend studying bills and becoming better informed about the issues facing the state and eliminating the legislative deadline that forces so many bills to be passed without due consideration at the last minute.
House Speaker Jim Amann and others believe that the legislature ought to remain part-time, however:
"I got a couple people who complained about it, and quite frankly, I said, 'If you don't want to be a legislator, don't run. Period,' " said Amann, who works as a fundraiser for a nonprofit organization. "Being a legislator is a sacrifice. We're not up here to make money. We're not up here to fool around. We're up here to try to make a difference to people's lives. Everybody knows what they are getting into, but some people just can't adjust to it." (Coleman)
Yet this year, the legislature met during at least part of every month save January, August and September. As the people's business (especially the budget) becomes more and more complicated and varied, the legislature will edge further towards full-time anyway.
This is a historical trend. Here is a passage from Judge Robert Satter's excellent guide to the Connecticut legislature, Under the Gold Dome, describing the legislature before the state Constitution was changed in 1965:
The legislature met biennially--for five months (from January until June), in the odd-numbered years only--and then went home. Even during the year it convened infrequently, doing most of its legislating in the last few days, often in the hectic closing hours. It did nothing between sessions and rarely met in special session. (Satter)
The part-time legislature was intended for an earlier time, when legislative business was not so all-consuming and pressing. The demands of a modern, complex, cosmopolitan state like Connecticut have already required the legislature to meet in at least one special session for the past four years.
The "citizen legislature" is a democratic ideal, but it isn't a realistic one anymore. It will be a shame to lose some of the "real world" experience that comes from having a day job, but the advantages of a full-time, professional legislature far outweigh that loss.
Coleman, Tobin. "Legislature weighs becoming full time." Stamford Advocate 3 January, 2006.
Satter, Robert. Under the Gold Dome. Connecticut Conference of Municipalities: New Haven, 2004.