I hardly hear this being brought up at all. Are people not annoyed enough about it to contact their representatives? Only two states (Arizona and Hawaii) don't observe daylight saving time. It certainly sounds like a legitimate issue.
There are plenty of daylight savings time bills. According to this website, which tracks daylight savings time bills across the United States, in legislative year 2017 14 states have introduced bills to change daylight savings time.
Those states are: Colorado, New Mexico, Utah, Nebraska, California, Maine, Connecticut, Texas, Illinois, New Hampshire, Iowa, New Jersey, North Dakota, and Wyoming.
This is all just to say that there is plenty of interest among states. Most of these laws will never be passed. The primary constraint of a legislature is time: they consider a large number of bills in a relatively short amount of time. There are many mechanisms to cull bills (drop-dead days, "the line", etc.), but the short story is that daylight savings time doesn't seem to be more pressing than the other subjects a legislature is considering any particular year.
Something I learned while preparing this answer - federal law gives the US Department of Transportation the ability to regulate and administer daylight savings time. States can pass a law recommending to the USDoT that they be excused from DST, but the Department can turn them down.
According to law, the Department is to decide based on, "the convenience of commerce". According to their site, requests from states are rare. It doesn't seem that the major impediment is the federal regulation, but the relative unimportant of DST as a political issue at the state level.