So, I replaced the carb on my Justy, It was running good, but once it warmed up, wanted to die when the clutch was engaged. So we stopped driving it for a while. Now it doesn't want to start. Any thoughts?

If everythin' is allright with the Carb, it could be a Clogged PCV Stuck or somethin' related to the Choke.

Does it Acts like a Flood? ... in that Case it could be the Float Level on the Carb.

Kind Regards.

Sounds like after your choke disengages it won't run. Some more information would be helpful. Did you replace the carb with new or used? Carbs for the Justy are specific to the year of the vehicle. Has the carb been adjusted? Did you install it yourself?