The search icon and the "X " close icon appear out of the selector itself due to size constraints (unless you make the window really big)

There are some overrides that could solve the issue, but feel free to use a different solution:

.uls-narrow.grid .uls-search {
padding-left: 10%;
padding-right: 10%;
}

.uls-narrow.grid .uls-lcd-region-section {
	padding-left: 13%;
}

.uls-narrow {
	max-width: 250px;
}