When you take a concert string, and put it on a tenor, you must increase the tension of the string to compensate for the extra scale length.
But generally speaking, a tenor string will have larger diameter, and require even more tension in order to tune it to the same note.
So the end result is, a concert set of strings on a tenor produces less actual string tension than a tenor set of strings.
The downside (or upside depending on your perspective) will be that the concert strings on a tenor will be slightly more floppy than the tenor strings.
So: 'Down up Dick' (did I really just type that?), no worries about the strings being too tight. But you may not like that the strings end up being too loose.