I have seen plenty of people relocate it and other things. I use the touchpad-mouse function to re-size the chatbox size, but that can only do so much.
Honestly. I would like to relocate it further into the bottom-left corner of the screen like I did most of the other stuff.
Basically I want This.
http://i6.minus.com/iKrX7mlH1FQmz.jpg
To look like This.
http://i6.minus.com/ibjJMeHahwHcJy.jpg
And. Another thing. MORE HUD OPTIONS =D!
I would truly love the ability to re-size some of the menu items such as how big the party list has to be, The LIMIT BREAK GAUGE (Seriously, it is Waaaaaay too huge! Its about as big as the chatbox!) And potentially even replacing some of the icons with optional variants, Such as lets say. Instead of a gigantic limitbreak bar that covers half of the screen. how about we get something like a numerical representation that says "Limit 0" But the letters or just the number slowly fill with color to represent the % of limit gauge currently filled. All the way up until it turns to an orange pulsing "Limit 3"
I would Love to see more options for the HUD and possibly even HUD Icon variants, And especially the ability to freely remove stuff (Such as the progress bar, Its already represented at the topleft of the screen, So personally as a healer who is 90% of the time only looking at the topleft of the screen, I can see my progress of casting just fine up there... So I dont even need the progress bar)
In general. The game would be more enjoyable in my opinion if I could edit the HUD to my liking a bit more. I feel that in the HUD you should be able to re-scale the objects between 50% of the default up to 150% of the default. It would make everything oh so much better to play <3 I know the PC can since it has more resolution options (Judging from videos online and screenshots, it seems to have quite abit more scaling options for the HUD...) and well. I would like to see this reflected in the PS4 edition...
I do hope you take some of these things into consideration. I do love this game. But, Being able to look at it easily and see as much of the battlefield as possible is essential when the zoom out function is as limited as it is. while PC players can have the GUI taking up 1/10th of the screen and be able to see every inch of the battlefield. Without some serious HUD changes. Over 60% of the screen is covered in HUD. I absolutely DARE you to try and do syrcus tower without editing the HUD in the PS4 version.
Edit
Er.. Seeing as I made so many suggestions to the HUD. I suggest this be relocated to the "User interface" forum.