In limit, playing offsuited connectors lower than 10 is long-term suicide. Even with many players your chances of hitting the flop and winning is very minimal. Often, you have to hit the flop AND improve to win. With the abundance of players limping any Ace, chances are if you did flop a pair you are either outkicked or have a severe chance of being outdrawn. Even with lots of callers pre-flop, offsuited connectors are hardly +EV, from the button or not.

Suited connectors, are a completely different story.

I made reference in another post where once or twice a session I'll raise on the button with 1-2 early limpers with any connecting cards, even down to 43o. Sometimes I'll flop big and take down a nice pot. But don't do this very often.
...or at all! The fact that there are only 1-2 players limping in the flop makes this even more -EV. I'm not even calling a small blind with 34o, let alone raising from the button. Raising with 6-8 players seeing the flop from the button will have higher EV than with 2-3 players preflop. What is the purpose of raising with 34o from the button? To give the impression you're a fish? Most players that would pay attention to you would probably already know that you play 30% of the flops (borrowed from other post) and you dont have to prove that to them. Other players may think you are just trying to steal the blinds even with the other limper in there. With few players preflop, you can not build the pot large enough with 34o to play it, let alone raise it. If anything, you'll just get check called to the river and you wont be able to build large pots and probably lose the hand, as 34o rarely holds up.