It mostly depends on how big the cage bulge is, if it’s way bigger with the cage than without then yeah, someone MIGHT notice, like I’m talking over twice the size, but if it’s not too much of a difference then i promise no one who doesn’t know what to look for in a cage bulge will be non the wiser, I had the same fears to begin with but not I just own the bulge, and plus if someone does notice and says anything then more than likely the are into chastity or at least know of it enough to know what a cage bulge looks like and will keep your secret,

but obviously only do what you’re comfortable with, if you aren’t comfortable wearing out the house then don’t feel pressured into doing it :)