I've had this purple tang since it was about an inch... in order for me to monitor and care for it, I had to move it from a 50 G to a 2.5G so I can encourage it to eat, etc. As it got larger, I moved it up to slightly bigger tanks. And now to the 5G... it'll likely be ready soon to go into my 20G or 29G and then into my DT. I have 14 tanks running... so there are plenty of bigger tank options.
I've made the mistake before of moving small tangs into my bigger systems prematurely, only to lose them. My other tangs have bigger tangs and other fast moving fish that often will out compete smaller ones for food.
That said, some of my other tangs prefer to hover in a small area until feeding time. YMMV...