I'm on a slightly older phone, but I actually removed Chrome from it not long ago. I started having problems with updating apps due to insufficient space, and while I have a fair amount of crap installed, I also have ~2.5GB of "Phone" storage for apps so I started investigating (this is separate from "sdcard" data storage which is ~8GB). Turns out Chrome, at least on the HTC Amaze 4G with 4.0.3, takes up about 250MB - my largest installed app by about a factor of 4 (next largest was ~80MB). This was not cache or data, this was the app itself.
I don't know what all they've moved into there as part of their push to cripple Android except as a host for the "Google Play Ecosystem," but crap like this is not endearing.