Thanks for the screenshot. It appears that Wix always keeps the width of these horizontal repeater items the same and, if necessary, wraps the text and consequently expanding the height of that item.
I don’t know if you would like my above-mentioned solution any better where you would adjust the font size depending on how many characters you’re dealing with. That approach was used on a text element inside of a box that was not in a repeater.
Selection tags behave the way that you are hoping, but they do not support icons.